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Area Problems

Area Problems
The ratio of the area of a square to that of the square drawn on its diagonal is

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

atio =  a 2 2 a 2

Area Problems
How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material?

8
5
6
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of square plate = (Side)2 = (2d)2= 4d2Area of circular plate = ? (d/2)2= ?d2/4? Number of square plates = [(4d2)/4] / [(?d2)/4]= (4 x 4)/? ? 5Since, nearest integer value is 5.

Area Problems
The perimeter of an equilateral triangle is 90 cm. Find its area.

151?3 sq cm
135?3 sq cm
250?3 sq cm
225?3 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, perimeter = 90 cm? 3a = 90 cm       [a = side]? a = 90/3 = 30 cm? Area = ?3a2 / 4 = ?3/4 x (30)2= 900 x ?3/4 = 225?3 sq cm

Area Problems
The length and breadth of a playground are 36 m and 21 m respectively. Flagstaffs are required to be fixed on all along the boundary at a distance of 3 m apart. The number of flagstaffs will be?

38
40
39
37

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Perimeter = 2 x (36 + 21 ) m = 144 m ? Number of flagstaffs = 144 / 3 = 38

Area Problems
If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is?

3:1
3:4
9:1
1:3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the area of square be (9x)2 m2 and (x2) m2Then, their sides are (3x) m and x metres respectively? Ratio of their perimeters = 12x / 4x=3:1

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

30%
40%
10%
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)

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