1. The breadth of a rectangular park is two-thirds of its length. If the area of the park is 600 sq. m, then the difference between the length and breadth of the park is:
(a) 6 m
(b) 10 m
(c) 12 m
(d) 15 m
2. The length of a rectangular field is 4 times its breadth. A garden occupying 200 m² covers half of the total area of the field. What is the length of the field?
(a) 20 m
(b) 25 m
(c) 40 m
(d) 50 m
3. A rectangular lawn is 18 m long and 8 m wide. Find the length of the diagonal of a square lawn having the same area as the rectangular lawn.
(a) 12√2
(b) 6√6
(c) 8√5
(d) 10√3
4. A circular wire of diameter 28 cm is bent to form a rectangle whose sides are in the ratio 4 : 3. Find the area enclosed by the rectangle. (Take π = 22/7)
(a) 336 cm²
(b) 392 cm²
(c) 448 cm²
(d) 504 cm²
5. The difference between the length and breadth of a rectangle is 18 m. If its perimeter is 156 m, then the area of the rectangle is:
(a) 1296 m²
(b) 1404 m²
(c) 1440 m²
(d) 1512 m²
6. A rectangular pond of length 140 m and breadth 105 m is situated inside a circular park. If the area of the land portion of the park is 35,000 m², what is the radius of the park? (Take π = 22/7)
(a) 105 m
(b) 112 m
(c) 119 m
(d) 140 m
7. The length of a rectangular garden is 8 m more than its breadth. If the area of the garden is 384 m², then the length of the garden is:
(a) 20 m
(b) 24 m
(c) 32 m
(d) 40 m
8. The length and breadth of a rectangle are in the ratio 5 : 3. If its perimeter is 32 cm, then the area of the rectangle is:
(a) 48 cm²
(b) 60 cm²
(c) 72 cm²
(d) 96 cm²
9. The length and breadth of a rectangle are increased by 10% and 20% respectively. The percentage increase in the area of the rectangle is:
(a) 30%
(b) 32%
(c) 35%
(d) 40%
10. While measuring the sides of a rectangle, there is an excess of 10% in one side and a deficit of 5% in the other side. The percentage error in the calculated area is:
(a) 5% increase
(b) 4% increase
(c) 5% decrease
(d) 4% decrease
11. The area of a rectangle is twice the area of a square. The length of the rectangle is 18 cm and its breadth is 4/3 times the side of the square. The side of the square is:
(a) 6 cm
(b) 9 cm
(c) 12 cm
(d) 18 cm
12. Find the area of the largest circle that can be drawn inside a rectangle whose sides are 20 cm and 14 cm. (Take π = 22/7)
(a) 154 cm²
(b) 196 cm²
(c) 220 cm²
(d) 308 cm²
13. A goat is tied at the corner of a rectangular field measuring 25 m × 18 m with a rope of length 7 m. Find the area of the region that the goat can graze.
(a) 38.5 m²
(b) 49 m²
(c) 77 m²
(d) 154 m²
14. If the length of a rectangle is increased by 20% and its width is decreased by 25%, then the area of the rectangle will:
(a) increase by 5%
(b) decrease by 10%
(c) remain unchanged
(d) increase by 10%
15. The length of a rectangle is decreased by 20% and its breadth is increased by 10%. The percentage change in the area of the rectangle is:
(a) 10% decrease
(b) 12% decrease
(c) 8% decrease
(d) No change
16. If each side of a rectangle is increased by 10%, then the percentage increase in its area is:
(a) 15%
(b) 20%
(c) 21%
(d) 25%
17. The length of a rectangle is increased by 25%. By what percent should the breadth be decreased so that the area remains the same?
(a) 15%
(b) 20%
(c) 25%
(d) 30%
18. While measuring the sides of a rectangle, there is an excess of 20% in one side and a deficit of 20% in the other side. The percentage error in the calculated area is:
(a) 4% increase
(b) 4% decrease
(c) No error
(d) 8% decrease
19. If the length and breadth of a rectangle are each increased by 50%, then the percentage increase in its area is:
(a) 100%
(b) 125%
(c) 150%
(d) 200%
20. The perimeters of a rectangle and a circle are equal. If the area of the rectangle is A and the area of the circle is B, then which of the following is always true?
(a) A > B
(b) A = B
(c) A < B
(d) The relation between A and B cannot be determined
21. A rectangle is inscribed in a circle of diameter 13 cm. If one side of the rectangle is 5 cm, then the area of the rectangle is:
(a) 30 cm²
(b) 60 cm²
(c) 48 cm²
(d) 65 cm²
1. The length and breadth of a rectangular park are in the ratio 5 : 3. If the perimeter of the park is 64 m, then the breadth of the park is:
(a) 12 m
(b) 18 m
(c) 24 m
(d) 30 m
2. The sides of a rectangular field are in the ratio 4 : 3 and its area is 432 sq. m. What is the perimeter of the field?
(a) 72 m
(b) 84 m
(c) 96 m
(d) 108 m
3. If the breadth and the perimeter of a rectangle are in the ratio 3 : 14, then the length and breadth of the rectangle are in the ratio:
(a) 5 : 3
(b) 4 : 3
(c) 7 : 3
(d) 5 : 2
4. If the length and the perimeter of a rectangle are in the ratio 4 : 14, then the length and breadth of the rectangle are in the ratio:
(a) 3 : 2
(b) 4 : 3
(c) 5 : 3
(d) 6 : 5
5. A circular wire of diameter 84 cm is cut and bent to form a rectangle whose sides are in the ratio 5 : 2. The smaller side of the rectangle is:
(a) 12 cm
(b) 14 cm
(c) 20 cm
(d) 28 cm
1. The floor of a hall is 80 m long and 5 m wide. Find the cost of covering the floor with a carpet 40 cm wide, at the rate of ₹20 per metre.
(a) ₹8,000
(b) ₹20,000
(c) ₹12,000
(d) ₹16,000
2. The cost of carpeting a rectangular room is ₹180. If the width had been 3 meters less, the cost of carpeting would have been ₹45 less. Find the width of the room.
(a) 6 m
(b) 9 m
(c) 12 m
(d) 15 m
3. A rectangular lawn 20 meters long and 12 meters broad is surrounded by a path of uniform width 2 meters. Find the cost of paving the path at ₹25 per square meters.
(a) ₹5,600
(b) ₹6,000
(c) ₹6,400
(d) ₹6,800