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Area Problems

Area Problems
What is the diameter of the circle having 3 cm radius?

1.5 cm
6 cm
12 cm
8 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Radius = Diameter/2 ? Diameter = 2 x Radius = 2 x 3 = 6 cm

Area Problems
A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:

Rs. 568
Rs. 558
Rs. 456
Rs. 458

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area to be plastered = [2(l + b) x h] + (l x b) = {[2(25 + 12) x 6] + (25 x 12)} m2 = (444 + 300) m2 = 744 m2. ∴ Cost of plastering = Rs. ❨ 744 x 75 ❩ = Rs. 558

Area Problems
The ratio of the area of square of side a and equilateral triangle of side a is?

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3

Area Problems
The wheel of an engine turns 350 times round its axle to cover a distance of 1.76 km. The diameter of the wheel is

?3 cm
3?3 cm
9 cm
3 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance covered in 1 round = (Total Distance) / (Total round)= (1.76 x 1000)/350= 176/35 m ? 2?r = (1.76 x 100) / 35 cm2? = Diameter = 17600 x 7/22 x 35 = 160 cm

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

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

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?

20%
10%
40%
30%

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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