Request a call back

# Perimeter and Area Worksheet

Multiple Choice Questions

1. What happens to the area of a parallelogram if the height is increased 2 times and the base is halved?
(a) Remains the same
(b) Becomes twice the original area
(c) Decreases to half the original area
(d) Becomes thrice the original area

2. The ratio of the area of semi-circle to the area of circle is
(a) 1:2
(b) 2:1
(c) 3:1
(d) 1:3

3. In a right-angled triangle LMN, the height of a triangle is twice its base. If its area is 169 cm2, find its base and height.

(a) Base = 26 cm, Height = 13 cm
(b) Base = 12 cm , Height = 24 cm
(c) Base = 13 cm , Height = 26 cm
(d) Base = 24 cm, Height = 12 cm

4. The diameter of the below circular disc is 28 cm. Find the circumference of a quadrant-shaped disc.

(a) 116 cm
(b) 50 cm
(c) 85 cm
(d) 100 cm

5. The area of the shaded region is

(a) 600 cm2
(b) 900 cm2
(c) 580 cm2
(d) 450 cm2

6. The area of a circle with diameter D is
(a) πD2
(b) 2πD
(c)
(d)

7. The adjacent sides of a parallelogram ABCD are 13 cm and 8 cm respectively. If the distance between its longer sides is 6 cm, find the distance between its shorter sides.

(a) 6 cm
(b) 7 cm
(c) 8.75 cm
(d) 9.75 cm

8. If the ratio of the diameters of two circles is 5:7, the ratio of their circumferences is

(a) 5:7
(b) 7:5
(c) 5:15
(d) 15:5

9. If the area of the following rectangle is ‘b’ m2, then the area of each triangle is

(a) 2b m2
(b)
(c)
(d) b2 m2

10. A jogging ground is in the form of a circle whose diameter is 301 m. Ravi ran around the ground 3 times. Find the distance covered by Ravi.
(a) 946 m
(b) 1892 m
(c) 2838 m
(d) 3784 m

Subjective Questions

11. Find the height ‘h’ of a below parallelogram shape whose area is 391 cm2.

12. A flower garden of area 9856 m2 is in the form of a circle with circumference 352 m. A gardener wants to fence it at the rate of Rs. 30 per metre. Find the cost of fencing.

13. In ΔXYZ, XY = 6 cm, XZ = 12 cm and YT = 8 cm. Find the length of ZR.

14. How many times a tyre of radius 42 cm be rotated to travel 528 cm?

15. Find the area of quadrilateral PQRS.

16. A parallelogram-shaped tile has base 9 cm and the corresponding height 6 cm. For covering a wall of area 648 cm2, how many such tiles are required.

17. Find the distance covered by the tip of the second hand of a clock in 2 minutes, if the length of the second hand is 49 mm.

18. PQRS is a square. Find the area of the shaded region.

19. Two parallelograms ABCD and PQRS of equal area are superimposed on one another as shown in the below figure. A square EBRF of side 3 cm is formed by their overlapping area. If BC = AD = 7 cm, find the area of parallelogram PQRS.

20. Shramik wants to fence his circular farm with wire whose radius is 350 m. The cost of fencing is Rs. 13 per metre. He has Rs. 27000 with him. Is this money more or less than the required cost of fencing? By how much?

## Key features of study materials for CBSE Class 7 Mathematics:

• Easy and comprehensive set of study materials
• Created by subject matter experts
• Amended according to the latest CBSE syllabus