CBSE Class 7 Maths Chapter 11 Perimeter and Area MCQ

Perimeter and Area Class 7, the 11th chapter of the NCERT textbook, explains to students on how to calculate the boundaries and surface areas of different shapes such as squares, rectangles, triangles, circles, and parallelograms. This chapter also helps students understand how geometry is used in real life like finding the area of a playground or the fencing needed for a garden. As per the NCERT CBSE Class 7 Maths syllabus, this chapter on perimeter and area builds the foundation for higher mathematical problems. Class 7 Maths MCQ questions on Perimeter and Area help students understand subjective questions more easily.

To make learning simpler, Infinity Learn has created Class 7 MCQ Questions on Perimeter and Area to help students understand the concepts clearly.

Practicing these Perimeter and Area Class 7 MCQ online tests with answers every day will help you understand the concepts easily, remember important formulas, and solve equations more effectively.

Topics Covered in Chapter 11 Perimeter and Area

1. Introduction to Perimeter and Area
2. Difference between Perimeter and Area
3. Perimeter of Regular and Irregular Figures
4. Perimeter of a Square
5. Perimeter of a Rectangle
6. Perimeter of a Triangle
7. Perimeter of Regular Polygons
8. Area of a Square
9. Area of a Rectangle
10. Area of a Parallelogram
11. Area of a Triangle
12. Area of a Rhombus
13. Area and Circumference of a Circle
14. Relationship between Diameter and Radius
15. Conversion of Units (cm², m², km², etc.)
16. Area and Perimeter of Composite Figures
17. Finding Unknown Dimensions using Area or Perimeter
18. Application-Based Problems (real-life examples)
19. Word Problems on Perimeter and Area
20. Mixed Figures and Complex Shapes
21. Derivation of Formulas for Area
22. Estimation of Perimeter and Area in Real Situations
23. Comparison of Areas and Perimeters of Different Shapes
24. Summary of All Important Formulas
25. Practice Exercises and Higher-Order Thinking (HOTS) Questions

Also Check:

• CBSE Class 7 Science MCQs
• CBSE Class 7 English MCQs
• CBSE Class 7 Maths MCQs
• CBSE Class 7 History MCQs

CBSE Class 7 Maths Chapter 11 Perimeter and Area MCQ Set 1

Choose the correct answer:

Q1. The perimeter of a shape is the measure of its ______.
a) Area
b) Boundary length
c) Volume
d) Diagonal
Ans: b) Boundary length

Q2. The area of a figure represents ______.
a) The outer boundary
b) The space inside the figure
c) The corners of the figure
d) The height of the figure
Ans: b) The space inside the figure

Q3. The area of a rectangle = ______.
a) 2 × (length + breadth)
b) length × breadth
c) ½ × base × height
d) side × side
Ans: b) length × breadth

Q4. The area of a square of side 12 cm is ______.
a) 24 cm²
b) 48 cm²
c) 72 cm²
d) 144 cm²
Ans: d) 144 cm²

Q5. The area of a parallelogram = ______.
a) base × height
b) length × breadth
c) ½ × base × height
d) 2 × (base + height)
Ans: a) base × height

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Q6. The area of a triangle with base 10 cm and height 6 cm is ______.
a) 30 cm²
b) 60 cm²
c) 20 cm²
d) 15 cm²
Ans: a) 30 cm²

Q7. A rhombus with diagonals 8 cm and 6 cm has area ______.
a) 24 cm²
b) 28 cm²
c) 48 cm²
d) 36 cm²
Ans: a) 24 cm²

Q8. The circumference of a circle is given by ______.
a) 2πr
b) πr²
c) r²/2
d) 2r²
Ans: a) 2πr

Q9. If the radius of a circle is 7 cm, its area is ______.
a) 49 cm²
b) 154 cm²
c) 22 cm²
d) 44 cm²
Ans: b) 154 cm²

Q10. 1 m² = ______ cm².
a) 10 cm²
b) 100 cm²
c) 1,000 cm²
d) 10,000 cm²
Ans: d) 10,000 cm²

Q11. The diameter of a circle is twice its ______.
a) Area
b) Radius
c) Circumference
d) Height
Ans: b) Radius

Q12. If the area of a rectangle is 72 cm² and its length is 9 cm, then breadth = ______.
a) 6 cm
b) 8 cm
c) 9 cm
d) 12 cm
Ans: a) 8 cm

Q13. Two rectangles have the same perimeter but different areas. This means their ______.
a) Lengths and breadths differ
b) Lengths are equal
c) Breadths are equal
d) Both are squares
Ans: a) Lengths and breadths differ

Q14. Which of the following is a composite figure?
a) Triangle
b) Circle
c) Rectangle
d) A house-shaped figure (triangle + rectangle)
Ans: d) A house-shaped figure (triangle + rectangle)

Q15. A circular park has radius 14 m. Its circumference is ______. (Take π = 22/7)
a) 44 m
b) 88 m
c) 66 m
d) 77 m
Ans: b) 88 m

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NCERT MCQ Questions for Class 7 Maths Chapter 11 Perimeter and Area with Answers (Set 2)

Choose the correct answer:

Q1. The total distance around a closed figure is called its ______.
a) Perimeter
b) Area
c) Volume
d) Height
Ans: a) Perimeter

Q2. The amount of surface enclosed within a shape is called its ______.
a) Volume
b) Area
c) Side length
d) Radius
Ans: b) Area

Q3. The formula for the perimeter of a triangle is ______.
a) side × side
b) Sum of all three sides
c) 2 × (length + breadth)
d) ½ × base × height
Ans: b) Sum of all three sides

Q4. If a square has a perimeter of 40 cm, then its side = ______.
a) 5 cm
b) 8 cm
c) 10 cm
d) 12 cm
Ans: c) 10 cm

Q5. The area of a parallelogram with base 12 cm and height 9 cm is ______.
a) 108 cm²
b) 96 cm²
c) 120 cm²
d) 90 cm²
Ans: a) 108 cm²

Q6. The perimeter of a regular pentagon with side 6 cm is ______.
a) 24 cm
b) 30 cm
c) 36 cm
d) 40 cm
Ans: b) 30 cm

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Q7. If the radius of a circle is doubled, its area becomes ______.
a) Double
b) Triple
c) Four times
d) Half
Ans: c) Four times

Q8. The area of a triangle with base 8 cm and height 5 cm is ______.
a) 40 cm²
b) 20 cm²
c) 25 cm²
d) 30 cm²
Ans: b) 20 cm²

Q9. The circumference of a circle of radius 3.5 cm (π = 22/7) is ______.
a) 11 cm
b) 22 cm
c) 33 cm
d) 44 cm
Ans: b) 22 cm

Q10. 1 km² = ______ m².
a) 100 m²
b) 1,000 m²
c) 100,000 m²
d) 1,000,000 m²
Ans: d) 1,000,000 m²

Q11. The relationship between radius and diameter is given by ______.
a) Diameter = ½ radius
b) Diameter = 2 × radius
c) Radius = Diameter × 2
d) Radius = Diameter + 2
Ans: b) Diameter = 2 × radius

Q12. A rectangle and a square have the same area but different perimeters. Which is true?
a) Their sides are equal
b) Square has smaller perimeter
c) Rectangle has smaller perimeter
d) Both have same perimeter
Ans: b) Square has smaller perimeter

Q13. The area of a circle with diameter 14 cm (π = 22/7) is ______.
a) 77 cm²
b) 154 cm²
c) 308 cm²
d) 49 cm²
Ans: b) 154 cm²

Q14. The area of a rhombus with diagonals 10 cm and 8 cm = ______.
a) 40 cm²
b) 60 cm²
c) 80 cm²
d) 50 cm²
Ans: a) 40 cm²

Q15. The sum of the angles in a triangle = ______.
a) 90°
b) 120°
c) 180°
d) 360°
Ans: c) 180°

Q16. A rectangular garden is 50 m long and 30 m wide. Find its area.
a) 1,500 m²
b) 1,000 m²
c) 2,000 m²
d) 2,500 m²
Ans: a) 1,500 m²

Q17. Which of the following is not a regular polygon?
a) Square
b) Equilateral triangle
c) Rectangle
d) Hexagon (equal sides)
Ans: c) Rectangle

Q18. If a square’s area is 81 cm², its side = ______.
a) 9 cm
b) 8 cm
c) 7 cm
d) 10 cm
Ans: a) 9 cm

Q19. A figure made up of a rectangle and a semicircle is an example of ______.
a) Composite figure
b) Regular figure
c) Open shape
d) Irregular polygon
Ans: a) Composite figure

Q20. The formula for the area of a circle is ______.
a) πr²
b) 2πr
c) πd
d) 2r²
Ans: a) πr²

CBSE Class 7 Maths Chapter 11 Perimeter and Area MCQs with Answers (Advanced Conceptual Set 4)

Total Questions: 20 | Level: High Conceptual | Type: MCQ with Answers

1. A square and a circle have equal perimeters. If the side of the square is 14 cm, find the radius of the circle. (Take π = 22/7)
a) 10 cm
b) 9 cm
c) 8.5 cm
d) 8 cm
Answer: d) 8 cm

2. A rectangular park has its length 5 m more than twice its breadth. If the perimeter is 70 m, what is the area of the park?
a) 240 m²
b) 250 m²
c) 260 m²
d) 270 m²
Answer: b) 250 m²

3. The difference between the area and the perimeter of a square is 60 cm². Find the side of the square.
a) 10 cm
b) 12 cm
c) 15 cm
d) 14 cm
Answer: a) 10 cm

4. A parallelogram and a rectangle have equal bases and equal areas. If the height of the parallelogram is 24 cm and the height of the rectangle is 20 cm, find the ratio of their perimeters.
a) 6:5
b) 5:6
c) 4:5
d) 3:2
Answer: b) 5:6

5. If the perimeter of an equilateral triangle is equal to that of a square and each side of the triangle is 9 cm, find the side of the square.
a) 6 cm
b) 9 cm
c) 10 cm
d) 12 cm
Answer: a) 6 cm

6. A rhombus and a square have equal areas. If the diagonal of the rhombus is 16 cm and one side of the square is 10 cm, find the other diagonal of the rhombus.
a) 10 cm
b) 12.8 cm
c) 14 cm
d) 16 cm
Answer: b) 12.8 cm

7. A field in the shape of a rectangle is twice as long as it is broad. If a path of width 2 m runs all around inside, the area of the path is 88 m². Find the dimensions of the field.
a) 16 m × 8 m
b) 18 m × 9 m
c) 20 m × 10 m
d) 22 m × 11 m
Answer: c) 20 m × 10 m

8. If the circumference of a circle equals the perimeter of a square of side 14 cm, what is the radius of the circle?
(Take π = 22/7)
a) 8 cm
b) 9 cm
c) 10 cm
d) 11 cm
Answer: b) 9 cm

9. The area of a triangle is numerically equal to its perimeter. If its base is 8 cm and height 6 cm, find its perimeter.
a) 24 cm
b) 22 cm
c) 20 cm
d) 18 cm
Answer: a) 24 cm

10. A semicircular garden is made on one side of a square lawn of side 14 m. Find the total perimeter of the combined figure.
(Take π = 22/7)
a) 60 m
b) 58 m
c) 56 m
d) 52 m
Answer: c) 56 m

11. A circular pond is surrounded by a path of uniform width 2 m. If the outer radius is 9 m, find the area of the path. (π = 3.14)
a) 90 m²
b) 100 m²
c) 113 m²
d) 120 m²
Answer: c) 113 m²

12. A rectangular sheet of paper is cut diagonally to form two triangles. If the sheet’s dimensions are 24 cm × 18 cm, what is the perimeter of one triangle?
a) 60 cm
b) 66 cm
c) 72 cm
d) 78 cm
Answer: b) 66 cm

13. The area of a parallelogram is 240 cm² and one side is 20 cm. Find its height if the other side is 15 cm and the included angle is 90°.
a) 8 cm
b) 10 cm
c) 12 cm
d) 16 cm
Answer: b) 10 cm

14. If the sum of areas of two squares is 169 cm² and the difference between their perimeters is 16 cm, find the sides of the squares.
a) 9 cm and 8 cm
b) 10 cm and 7 cm
c) 11 cm and 6 cm
d) 12 cm and 5 cm
Answer: b) 10 cm and 7 cm

15. A square and a rectangle have equal areas. If the side of the square is 12 cm and the rectangle’s length is 18 cm, find its breadth.
a) 8 cm
b) 7 cm
c) 9 cm
d) 10 cm
Answer: c) 8 cm

16. If the ratio of perimeters of two similar triangles is 2:3, find the ratio of their areas.
a) 2:3
b) 3:2
c) 4:9
d) 9:4
Answer: c) 4:9

17. A circular garden has an area equal to a square garden of side 14 m. Find the radius of the circle.
(π = 22/7)
a) 8 m
b) 9 m
c) 10.5 m
d) 12 m
Answer: b) 9 m

18. The diagonals of a rhombus are in the ratio 3:4. If the perimeter is 40 cm, find the area of the rhombus.
a) 80 cm²
b) 96 cm²
c) 120 cm²
d) 150 cm²
Answer: c) 120 cm²

19. A park is in the shape of a rectangle of length 20 m and width 14 m. Four semicircular flower beds are made on each side outside. Find the total area of the flower beds. (π = 22/7)
a) 308 m²
b) 312 m²
c) 320 m²
d) 330 m²
Answer: a) 308 m²

20. A square and an equilateral triangle have equal perimeters. If each side of the triangle is 18 cm, find the area of the square.
a) 324 cm²
b) 441 cm²
c) 484 cm²
d) 500 cm²
Answer: c) 484 cm²

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