{"id":8632,"date":"2020-09-21T14:25:06","date_gmt":"2020-09-21T08:55:06","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=8632"},"modified":"2020-10-07T17:18:55","modified_gmt":"2020-10-07T11:48:55","slug":"mcq-questions-for-class-7-maths-chapter-11","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-7-maths-chapter-11\/","title":{"rendered":"MCQ Questions for Class 7 Maths Chapter 11 Perimeter and Area with Answers"},"content":{"rendered":"

Students can access the NCERT MCQ Questions for Class 7 Maths Chapter 11 Perimeter and Area Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 7 Maths with Answers<\/a> during preparation and score maximum marks in the exam. Students can download the Perimeter and Area Class 7 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 7 Maths Chapter 11 Perimeter and Area Objective Questions.<\/p>\n

Perimeter and Area Class 7 MCQs Questions with Answers<\/h2>\n

Students are advised to solve Perimeter and Area Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on Perimeter and Area Class 7 with answers will boost your confidence thereby helping you score well in the exam.<\/p>\n

Explore numerous MCQ Questions of Perimeter and Area Class 7 with answers provided with detailed solutions by looking below.<\/p>\n

Question 1.
\nFind the area of a circle having radius 14 cm.
\n(a) 196 cm2<\/sup>
\n(b) 308 cm2<\/sup>
\n(c) 616 cm2<\/sup>
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 616 cm2<\/sup>
\nArea of a circle \u03c0r2<\/sup> = \\(\\frac { 22 }{ 7 }\\) \u00d7 14 \u00d7 14 = 616 cm2<\/sup>.<\/p>\n<\/details>\n

\n

Question 2.
\nFind the breadth of a rectangular plot of land, if its area is 440 m2<\/sup> and the length is 22 m.
\n(a) 20 m
\n(b) 5 m
\n(c) 15 m
\n(d) 10 m<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 20 m<\/p>\n<\/details>\n

\n

Question 3.
\nOne of the sides and the corresponding height of a parallelogram are 4 cm and 3 cm respectively. Find the area of the parallelogram.
\n(a) 12 cm2<\/sup>
\n(b) 7 cm2<\/sup>
\n(c) 6 cm2<\/sup>
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 12 cm2<\/sup>
\nArea of a parallelogram = side \u00d7 height.<\/p>\n<\/details>\n

\n

Question 4.
\nFind the area of a verandah 2.25 m wide constructed outside a room 5.5 m long and 4 m wide.
\n(a) 36sq.m
\n(b) 63sq.m
\n(c) 64sq.m
\n(d) 84sq.m<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 63sq.m<\/p>\n<\/details>\n

\n

Question 5.
\nFind the cost of lamination in the above question at the rate of Rs. 2.00 per cm2<\/sup>.
\n(a) Rs. 1200
\n(b) Rs. 2200
\n(c) Rs. 2400
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) Rs. 2400
\nFor lamination, area of frame is considered and product of area and cost is found.<\/p>\n<\/details>\n

\n

Question 6.
\nWhen the circumference and area of a circle are numerically equal, what is the diameter numerically equal to?
\n(a) Area
\n(b) Circumference
\n(c) 271
\n(d) 4<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 4<\/p>\n<\/details>\n

\n

Question 7.
\nA gardener wants to fence a circular garden of diameter 14 m. Find the length of the rope he needs to purchase.
\n(a) 44 m
\n(b) 28 m
\n(c) 88 m
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 44 m
\nFence means circumference of the circle. First calculate radius and then find circumference of the given circular garden.<\/p>\n<\/details>\n

\n

Question 8.
\nIf the area of a circle is 2464 m2<\/sup>, find its diameter,
\n(a) 56m
\n(b) 154m
\n(c) 176m
\n(d) 206m<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 56m<\/p>\n<\/details>\n

\n

Question 9.
\nWhat is the circumference of a circle of radius 7 cm ?
\n(a) 44 cm
\n(b) 49 cm
\n(c) 14 cm
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 44 cm
\nCircumference of a circle = 2\u03c0r, 2 \u00d7 \\(\\frac { 22 }{ 7 }\\) \u00d7 r = 44 cm.<\/p>\n<\/details>\n

\n

Question 10.
\nThe height in the area of a triangle
\n(a) \\(\\frac { (2\u00d7area) }{ base }\\)
\n(b) \\(\\frac { base }{ (2\u00d7area) }\\)
\n(c) \\(\\frac { (2\u00d7area) }{ height }\\)
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) \\(\\frac { (2\u00d7area) }{ base }\\)<\/p>\n<\/details>\n

\n

Question 11.
\nAyush made his picture on a rectangular sheet of length 60 cm and breadth 20 cm wide. Area of picture is :
\n(a) 1200 cm2<\/sup>
\n(b) 1250 cm2<\/sup>
\n(c) 1100 cm2<\/sup>
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 1200 cm2<\/sup>
\nArea of rectangular picture is length \u00d7 breadth.<\/p>\n<\/details>\n

\n

Question 12.
\nA rectangular garden is 65 cm long and 50 cm wide. Two cross paths each 2 m wide are to be constructed parallel to the sides. If these paths pass through the centre of the garden, find the cost of constructing the paths at the rate Rs. 69 per m2<\/sup>.
\n(a) Rs. 15000
\n(b) Rs. 15594
\n(c) Rs. 15500
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) Rs. 15594<\/p>\n<\/details>\n

\n

Question 13.
\nIf a side of a square is 4 cm then its perimeter is :
\n(a) 16 cm
\n(b) 8 cm
\n(c) 12 cm
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 16 cm
\nPerimetre of square is 4 \u00d7 side<\/p>\n<\/details>\n

\n

Question 14.
\nThe area of triangle is
\n(a) (\\(\\frac { 1 }{ 2 }\\)) \u00d7 base \u00d7 height
\n(b) (\\(\\frac { 1 }{ 2 }\\)) \u00d7 (base + height)
\n(c) base (d) height
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) (\\(\\frac { 1 }{ 2 }\\)) \u00d7 base \u00d7 height<\/p>\n<\/details>\n

\n

Question 15.
\nThe length and the breadth of a rectangular piece of land are S00 m and 300 m. Find the cost of the land if 1 m2<\/sup> of the land costs Rs. 10000.
\n(a) Rs. 15,00,00,00
\n(b) Rs. 1500,000
\n(c) Rs. 1500,00
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) Rs. 15,00,00,00
\nArea of a rectangular piece is multiplied by cost of land.<\/p>\n<\/details>\n

\n

Question 16.
\nA wire bent in the form of a circle of radius 42 cm is again bent in the form of a square. What is the ratio of the regions enclosed by the circle and the square?
\n(a) 11:12
\n(b) 21:33
\n(c) 22:33
\n(d) 14:11<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 14:11<\/p>\n<\/details>\n

\n

Question 17.
\nFind the cost of frame in the above question at the rate of Rs. 3.00 per cm.
\n(a) Rs. 480
\n(b) Rs. 3600
\n(c) Rs. 240
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) Rs. 480
\nFor frame cost perimeter is multiplied by 3.<\/p>\n<\/details>\n

\n

Question 18.
\nFind radius of a circle of diameter 9.8 m.
\n(a) 4.9 m
\n(b) 19.6 m
\n(c) 10 m
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 4.9 m
\nRadius of a circle is half of its diametre.<\/p>\n<\/details>\n

\n

Question 19.
\nWhat is the circumference of a circle of diameter 10 cm?
\n(a) 35 cm
\n(b) 30 cm
\n(c) 31.4 cm
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 31.4 cm<\/p>\n<\/details>\n

\n

Question 20.
\nIn the above questions, find the perimeter of the rectangular sheet.
\n(a) 80 cm
\n(b) 100 cm
\n(c) 90 cm
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 90 cm
\nPerimeter = 2(length + breadth).<\/p>\n<\/details>\n

\n

Question 21.
\nThe length and breadth of a rectangular hall in a model are 0.4 m and 30 cmrespectively. What is the distance between the opposite corners of the wall in the model?
\n(a) 34.16m
\n(b) 50m
\n(c) 34.16 cm
\n(d) 50cm<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 50cm<\/p>\n<\/details>\n

\n

Question 22.
\nThe perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth.
\n(a) 35 cm
\n(b) \\(\\frac { 100 }{ 35 }\\)
\n(c) 15 cm
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 15 cm
\n2(l + b) = 100, 2l + 2b = 100, 2 \u00d7 35 + 2b = 100, 2b = 30 \u00f7 2 = 15 cm.<\/p>\n<\/details>\n

\n

Question 23.
\nWhich figure encloses more area: a square of side 2 cm ; a rectangle of side 3 cm and 2 cm ;An equilateral triangle of side 4 cm?
\n(a) equilateral triangle
\n(b) square
\n(c) triangle
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) equilateral triangle<\/p>\n<\/details>\n

\n

Question 24.
\nIn the above question, what will be the perimeter of the picture frame ?
\n(a) 80 cm
\n(b) 160 cm
\n(c) 120 cm
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 160 cm
\nPerimeter of a rectangular picture is 2(length + breadth).<\/p>\n<\/details>\n

\n

Question 25.
\nFind the area of the following triangle :<\/p>\n

\"\"<\/p>\n

(a) 6 cm2<\/sup>
\n(b) 4 cm2<\/sup>
\n(c) 16 cm2<\/sup>
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 4 cm2<\/sup>
\nArea of triangle \u2211 = base \u00d7 altitude.<\/p>\n<\/details>\n

\n

Question 26.
\nIf we cut a square along one of its diagonals, two triangles are obtained. Area of each triangle obtained = __________.
\n(a) (\\(\\frac { 1 }{ 2 }\\))\u00d7Area of the square
\n(b) (\\(\\frac { 1 }{ 4 }\\))\u00d7Area of the square
\n(c) Area of the square
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) (\\(\\frac { 1 }{ 2 }\\))\u00d7Area of the square<\/p>\n<\/details>\n

\n

Question 27.
\nFind the perimeter of a triangle with sides 4 cm, 6 cm and 10 cm
\n(a) 20 cm
\n(b) 24 cm
\n(c) 9 cm
\n(d) 18 cm<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 20 cm<\/p>\n<\/details>\n

\n

Question 28.
\nThe area of a rectangular sheet is 500 cm2<\/sup>. If the length of the sheet is 25 cm. What is its width ?
\n(a) 20 cm
\n(b) 25 cm
\n(c) 50 cm
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 20 cm
\nBreadth of a rectangle is area \u00f7 length.<\/p>\n<\/details>\n

\n

Question 29.
\nThe base in the area of parallelogram is
\n(a) \\(\\frac { area }{ height }\\)
\n(b) area \u00d7 base
\n(c) \\(\\frac { area }{ base }\\)
\n(d) area \u00d7 height<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) \\(\\frac { area }{ height }\\)<\/p>\n<\/details>\n

\n

Question 30.
\nFind the area of a square park whose perimeter is 320 cm ?
\n(a) 6400 m2<\/sup>
\n(b) 6000 m2<\/sup>
\n(c) 1280 m2<\/sup>
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 6400 m2<\/sup>
\nSide of square 320 \u00f7 4 = 80, Area of square is 80 \u00d7 80 = 6400 m2<\/sup>.<\/p>\n<\/details>\n

\n

Question 31.
\nThe area of parallelogram is
\n(a) height \u00d7 height
\n(b) base \u00d7 height
\n(c) base + height
\n(d) base \u00d7 base<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) base \u00d7 height<\/p>\n<\/details>\n

\n

Question 32.
\nIf a side of a square is 5 cm then its area is :
\n(a) 20 cm2<\/sup>
\n(b) 25 cm2<\/sup>
\n(c) 10 cm2<\/sup>
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 25 cm2<\/sup>
\nArea of square is side \u00d7 side.<\/p>\n<\/details>\n

\n

Question 33.
\nFind the area of a triangle with a base of 20 cm and a height of 30 cm
\n(a) 300
\n(b) 100
\n(c) 400
\n(d) 600<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 300<\/p>\n<\/details>\n

\n

Question 34.
\nFind the height x, if the area of the parallelogram is 24 cm2<\/sup> and the base is 4 cm.
\n(a) 4 cm
\n(b) 6 cm
\n(c) 5 cm
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 6 cm
\nHeight of a parallelogram = area \u00f7 side.<\/p>\n<\/details>\n

\n

Question 35.
\nThe area of a square whose perimeter is 4 m
\n(a) 2 m2<\/sup>
\n(b) 1 m2<\/sup>
\n(c) 3 m2<\/sup>
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 1 m2<\/sup><\/p>\n<\/details>\n

\n

Question 36.
\nPerimeter of a square field is 400 cm, find its one side.
\n(a) 300 cm
\n(b) 200 cm
\n(c) 100 cm
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 100 cm
\nSide of square = perimeter \u00f7 four.<\/p>\n<\/details>\n

\n

Question 37.
\nThe length and the breadth of a rectangular piece of land are 400 m and 250 m respectively. What is the cost of the land at Rs. 1000 per square metre?
\n(a) Rs.10 lakhs
\n(b) Rs.1 crore
\n(c) Rs.10 crores
\n(d) Rs.10 thousands<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) Rs.10 crores<\/p>\n<\/details>\n

\n

Question 38.
\nFind x in the given figure :<\/p>\n

\"\"<\/p>\n

(a) 4.5 cm
\n(b) 6 cm
\n(c) 2 cm
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 4.5 cm
\nx(6 \u00d7 3) \u00f7 4.<\/p>\n<\/details>\n

\n

Match the following :<\/span><\/p>\n\n\n\n\n\n\n
1. Perimeter of square<\/td>\n(a) 2(l + b)<\/td>\n<\/tr>\n
2. Area of square<\/td>\n(b) 4 \u00d7 side<\/td>\n<\/tr>\n
3. Perimeter of rectangle<\/td>\n(c) l \u00d7 b<\/td>\n<\/tr>\n
4. Area of a rectangle<\/td>\n(d) a2<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\nAnswer<\/span><\/summary>\n

Answer:<\/p>\n\n\n\n\n\n\n
1. Perimeter of square<\/td>\n(b) 4 \u00d7 side<\/td>\n<\/tr>\n
2. Area of square<\/td>\n(d) a2<\/sup><\/td>\n<\/tr>\n
3. Perimeter of rectangle<\/td>\n(a) 2(l + b)<\/td>\n<\/tr>\n
4. Area of a rectangle<\/td>\n(c) l \u00d7 b<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/details>\n
\n

Match the following :<\/span><\/p>\n\n\n\n\n\n\n
1. Radius of circle<\/td>\n(a) Base \u00d7 Height<\/td>\n<\/tr>\n
2. Area of triangle<\/td>\n(b) \u03c0r2<\/sup><\/td>\n<\/tr>\n
3. Area of a ||gm<\/td>\n(c) Half of its diametre<\/td>\n<\/tr>\n
4. Area of circle<\/td>\n(d) \\(\\frac { 1 }{ 2 }\\) \u00d7 Base \u00d7 Altitude<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\nAnswer<\/span><\/summary>\n

Answer:<\/p>\n\n\n\n\n\n\n
1. Radius of circle<\/td>\n(c) Half of its diametre<\/td>\n<\/tr>\n
2. Area of triangle<\/td>\n(d) \\(\\frac { 1 }{ 2 }\\) \u00d7 Base \u00d7 Altitude<\/td>\n<\/tr>\n
3. Area of a ||gm<\/td>\n(a) Base \u00d7 Height<\/td>\n<\/tr>\n
4. Area of circle<\/td>\n(b) \u03c0r2<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/details>\n
\n

Match the following:<\/span><\/p>\n\n\n\n\n\n\n
1. 1 cm<\/td>\n(a) 100 cm<\/td>\n<\/tr>\n
2. 1 m<\/td>\n(b) 100 mm2<\/sup><\/td>\n<\/tr>\n
3. 1 cm2<\/sup><\/td>\n(c) 100,00 cm2<\/sup><\/td>\n<\/tr>\n
4. 1 m2<\/sup><\/td>\n(d) 10 mm<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\nAnswer<\/span><\/summary>\n

Answer:<\/p>\n\n\n\n\n\n\n
1. 1 cm<\/td>\n(d) 10 mm<\/td>\n<\/tr>\n
2. 1 m<\/td>\n(a) 100 cm<\/td>\n<\/tr>\n
3. 1 cm2<\/sup><\/td>\n(b) 100 mm2<\/sup><\/td>\n<\/tr>\n
4. 1 m2<\/sup><\/td>\n(c) 100,00 cm2<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/details>\n
\n

State whether the given statements are True or False.<\/span><\/p>\n

Question 1.
\nRadius is twice of diametre.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: False<\/p>\n<\/details>\n

\n

Question 2.
\nPerimeter of a square = a2<\/sup>.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: False<\/p>\n<\/details>\n

\n

Question 3.
\nArea of circle = \u03c0r2<\/sup>.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: True<\/p>\n<\/details>\n

\n

Question 4.
\nPerimeter of rectangle = 2(l + b)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: True<\/p>\n<\/details>\n

\n

Fill in the blanks.<\/span><\/p>\n

1. The distance around a circular region is known as its …………. .<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: circumference<\/p>\n<\/details>\n

\n

2. 1 hectare = …………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 100,00 m2<\/sup><\/p>\n<\/details>\n

\n

3. Area of a circle = ……… \u00d7 r2<\/sup><\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: \u03c0<\/p>\n<\/details>\n

\n

4. Area of a rectangle = ……….. \u00d7 Breadth<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: Length<\/p>\n<\/details>\n

\n

5. ………… is the part of plane occupied by the closed figure.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: Area<\/p>\n<\/details>\n

\n

6. Perimetre of a rectangle = 2 (Length + ………)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: Breadth<\/p>\n<\/details>\n

\n

7. Area of a ||gm = Base \u00d7 ………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: Height<\/p>\n<\/details>\n

\n

8. ……….. is the distance around a closed figure.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: Perimeter<\/p>\n<\/details>\n

\n

9. Area of a square = Side \u00d7 ………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: Side<\/p>\n<\/details>\n

\n

10. Perimetre of a square = 4 \u00d7 ………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: Side<\/p>\n<\/details>\n

\n

11. Circumference of a circle = 2 \u00d7 \u03c0 \u00d7 ……….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: r<\/p>\n<\/details>\n

\n

We believe the knowledge shared regarding NCERT MCQ Questions for Class 7 Maths Chapter 11 Perimeter and Area with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 7 Maths Perimeter and Area MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can access the NCERT MCQ Questions for Class 7 Maths Chapter 11 Perimeter and Area Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 7 Maths with Answers during preparation and score maximum marks in the exam. Students can download …<\/p>\n

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