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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?

13 cm
12 cm
14 cm
16 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
A man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?

40%
10%
30%
20%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

let the side of the square be x meterslength of two sides = 2x metersdiagonal =  2 x = 1.414x m   saving on 2x meters = .59x m   saving % =  0 . 59 x 2 x * 100 %   = 30% (approx)

Area Problems
A man runs round a circular field of radius 50m at the speed of 12 km/hr. What is the time taken by the man to take twenty rounds of the field?

220/7 min
90/7 min
230/7 min
110/7 min

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

speed = 12 km/h =  12 × 5 18 = 10 3 m / s     distance covered =  20 × 2 × 22 7 × 50 = 44000 7 m     time taken  = distance /speed =   44000 7 × 3 10 s e c = 4400 × 3 7 × 1 60 m i n = 220 7 m i n

Area Problems
The diagonal of the floor of a rectangular closet is 7½ feet. The shorter side of the closet is 4½ feet. What is the area of the closet in square feet?

37
13(1/2)
5(1/4)
27

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Other side = (15 / 2) 2 - (9 / 2) 2 ft = (225 / 4) - (81 / 4) ft = 144 / 4 ft = 6 ft Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.

Area Problems
If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.

9%
5%
6%
4%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,Percentage increase in diagonals = 5%

Area Problems
In a rhombus, whose area is 144 sq.cmone of its diagonal is twice as long as the other, The lengths of its diagonals are?

12 cm, 24 cm
6 cm, 12 cm
6 ?2 cm, 12?2 cm
24 cm, 48 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of rhombus = (d1 x d2) / 2? (d x 2d ) / 2 = 144? d2 = 144? d = 12 ? Length of diagonal = 12 cm, 24 cm

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