### Area & Perimeter

1) What is the area of a triangle with base 5 meters and height 10 meters?

- 20 square meters
- 35 square meters

- 25 square meters
- 40 square meters

2) The base of a right-angled triangle is 10 and hypotenuse is 20. What is its area?

- 52 meters

- 58 meters
- 68 meters
- 60 meters

3) The sides of a triangle are in the ratio 10: 24:26 and its perimeter is 300 m. What is its area?

- 2500 m
^{2}

- 3000 m
^{2} - 3500 m
^{2} - 4000 m
^{2}

4) The ratio of length and breadth of a rectangular park is 4:2. If a cat running along the boundary of the park at the speed of 18 km/hr completes one round in 10 minutes, find the area of the park in square meters. 50000 sq. m.

- 45000 sq. m.
- 68000 sq. m.
- 55000 sq. m.

5) The perimeter of the rectangular field is 480 meters and the ratio between the length and breadth is 5:3. Find the area of the field.

- 7200 m
^{2}

- 15000 m
^{2} - 13500 m
^{2} - 54000 m
^{2}

6) If the perimeter of a square is 24 cm, one of the sides of the square is

- 12 cm

- 8 cm
- 6 cm
- 2 cm

7) If the diagonal of a square field is 16 m, what is its area?

- 126 m
^{2}

- 128 m
^{2} - 130 m
^{2} - 132 m
^{2}

8) The area of a rectangle and square are equal. The side of the square is 5 cm and the smaller side of the rectangle is half that of the square. The length of the other side of the rectangle would be

- 5 cm

- 8 cm
- 10 cm
- 12.5 cm

9) The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

- 5%

- 60%
- 75%
- 120%

10) The ratio between the breadth and perimeter of a rectangle is 2:10. If the area of the rectangle is 428 sq. cm, what is the length of the rectangle?

- 4 cm

- 30.4 cm
- 40.4 cm
- 45.4 cm

11) What is the area of a square field whose side is 20 meters?

- 300 sq. m.

- 350 sq. m.
- 400 sq. m.
- 450 sq. m.

12) What is the area of a square field whose diagonal is 40 meters?

- 900 sq. m.

- 800 sq. m.
- 750 sq. m.
- 950 sq. m.

13) The length of a rectangle is thrice its breath, and its perimeter is 106 meters. What is its area?

- 507 sq. m.

- 508 sq. m.
- 509 sq. m.
- 510 sq. m.

14) A rectangular grass field has a length of 85 meters and breadth of 65 meters. It is surrounded by a 5-meter wide path. Find the area of the Path and the cost of constructing it at Rs. 5 per square meter?Play Video

- 4000

- 6000
- 8000
- 7000

15) If the area of the trapezium, whose parallel sides are 6 cm and 10 cm is 32 sq. cm, what will be the distance between the parallel sides?

- 2 cm

- 4 cm
- 5 cm
- 8 cm

16) The difference between the length and the perimeter of a rectangle is 100 cms. What is the breadth of the rectangle?

- 80 cms

- 60 cms
- 100 cms
- Data Inadequate

17) The sides of a rhombus are 10 cm in length, and one diagonal is 16 cm. The area of the rhombus is

- 96 cm
^{2}

- 95 cm
^{2} - 94 cm
^{2} - 93 cm

18) If each side of the square is increased by 50%, what will be the ratio between the new area and the original area of the square?

- 5: 4

- 9: 4
- 4: 5
- 4: 9

19) The sides of a rectangular field are in the ratio 3: 4 and its area is 7500 m2. What is the cost of fencing it at 25 paise per meter?

- 87.50

- Rs. 77.50
- Rs. 67.50
- Rs. 57.50

20) If the size of a tile is 9″ by 9″, how many tiles are required to cover a 12 ft. wide and 18 ft. long floor?

- 32

- 384
- 216
- 24

21) A 20 m long, and 15 m broad hall is surrounded by a verandah with a uniform width of 2.5 m. Find the cost of flooring the verandah at Rs. 3.50 per square meter.

- 500

- Rs.600
- Rs.700
- Rs.800

22) The height of a room to its semi-perimeter is 2: 5. It costs Rs. 260 to paper the walls of the room with paper 50 cm wide at Rs. 2 per meter allowing an area of 15 cm^{2} for doors and windows. The height of the room is

- 6 m

- 3.9 m
- 4 m
- 4.2 m

23) The area of a rectangular plot is increased by 30% and its width remains as it was before. What will be the ratio between the area of the new rectangle and the original rectangle?

- 10: 3

- 13: 10
- 7: 3
- Data inadequate

24) If the wheel of an engine of a train 4meters in circumference makes seven revolutions in 4 seconds, what is the speed of the train? 25 km/hr

- 27 km/hr
- 30 km/hr
- 35 km/hr

25) If the height of a triangle is decreased by 40% and its base is increased by 40%. What will be the effect on its area?

- No change

- 16% increase
- 8% increase
- 16% decrease

26) A blanket, when bleached, decreases in length by 20% and in breadth by 15%. What is the percentage decrease in its area?

- 32 %

- 42 %
- 35 %
- 45 %

27) The difference between the length and breadth of a rectangle is 25 meters. If the perimeter of this rectangle is 210 meters, what is its area?

- 3600 m
^{2}

- 2600 m
^{2} - 3000 m
^{2} - 2000 m
^{2}

28) The side of a rhombus is 25 m, and one of its diagonal is 30 meters. What is its area?

- 400 sq. m.

- 450 sq. m.
- 500 sq. m.
- 600 sq. m.

29) The area of a parallelogram is 162 square meters. If its altitude is twice the corresponding base, find the length of the base?

- 8 meters

- 7 meters
- 9 meters
- 10 meters

30) The area of a trapezium is 1500 sq. m. If the parallel sides are in the ratio of 12: 18 and the distance between the parallel sides is 32 meters, what is the length of the smaller parallel side?

- 3 meters

- 4.5 meters
- 5.3 meters
- 6.5 meters

31) One of the four angles of a rhombus is 90 degrees. If each side of the rhombus is 20 cm, what will be the length of the longer diagonal?

- 20 √2 cm

- 25 √2 cm
- 25 √2 cm
- 30 √2 cm

32) What is the area of the largest circle that can be drawn inside a square of side 20 cm?

- 90 π cm
^{2}

- 100 π cm
^{2} - 110 π cm
^{2} - 95 π cm
^{2}

33) If the side of a square is equal to the diameter of a circle, what is the area of the square if the area of the circle is 81π sq. cm?

- 350 sq. cm.

- 384 sq. cm.
- 324 sq. cm.
- 456 sq. cm.

34) The perimeter of a circle and an equilateral triangle are equal. Find the area of the equilateral triangle if the area of the circle is 141π.

271.34 sq. cm.

- 281.34 sq. cm.
- 261.34 sq. cm.
- 251.34 sq. cm.

35) The diameter of a circle is increased by 100%. What is the percentage increase in area?

- 250 %

- 200 %
- 400 %
- 300 %

36) The length, width, and height of a room are 7 m, 8 m, and 9 m respectively. What is the total area of the walls?

- 270 sq. m.

- 260 sq. m.
- 265 sq. m.
- 255 sq. m.

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