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Area Problems

Area Problems
The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height?

12 cm
14 cm
16 cm
13 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let height =x Then, base =2x 2x * x = 338 =>x=13

Area Problems
The perimeter of a rectangle having area equal to 144 cm 2 and sides in the ratio 4 : 9 is

64 cm
56 cm
52 cm
60 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let l = 4k and b = 9kArea of rectangle = l x b144 = 4k x 9k ? k2 = 144/36 ? k2 = 4? k = 2? l = 8 cm and b = 18 cmPerimeter of rectangle = 2(l + b)= 2(8 + 18)= 2 x 26= 52 cm

Area Problems
The ratios of areas of two squares, one having its diagonal double than the other is

2:3
4:1
3:1
2:1

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
If the radius of a circle be reduced by 50%. Its area is reduced by?

31.5%
39.5%
34.5%
65.5%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Original area = ? x (r/2)2 = ?r2/4Reduction in area = ? r2 - 3? r2/4? Reduction per cent = [ 3?r2/4 x 4/(?r2) x 100 ] %= 75%

Area Problems
Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is?

12 meters
6 meters
14 meters
3.5 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of a four walls = 2(l + 8) x 6 = 168m2? (l + 8) = 14? l = 14-8= 6 meters

Area Problems
The length of a rectangular field is increased by 60 % . By what percent would the width have to be decreased to maintain the same area?

60%
371/2%
120%
75%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length = L and breadth = BLet , New breadth = ZThen, New length = ( 160 / 100) L.= 8L / 5? 8L / 5 x Z = LBor Z = 5B/8Decrease in breadth = (B-5B/8)= 3B/8? Decrease in percent = (3B/8 x1/B ) x 100 %= 371/2%

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