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Area Problems

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

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

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
The cost of cultivating a square field at the rate of Rs. 160 per hectare is Rs. 1440. the cost of putting a fence around it at 75 paisa per meter is?

Rs. 810
Rs. 1800
Rs. 900
Rs. 360

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = 1440 / 160 hectares = 9 hectares = 90000 m2? One side = ?90000 m = 300 mSo perimeter = 4 x 300 m = 1200 m ? Cost of fencing = Rs (1200 x 75) / 100= Rs. 900

Area Problems
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m.

8 m
12 m
13 m
7 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of to the rope = Radius of circle According to the question,?r2 = 154 ? r2 = 154 x (7/22) = 7 x 7 = 49 ? r = ?49 = 7 m

Area Problems
If the circumference of a circle is the 352 meters, then its area in m square is?

6589
8956
5986
9856

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

circumference = 2?r = 2 x (22 / 7) x r = 352? r = (352 x 7) / (22 x 2) =56 cmNow area = ?r2 = (22 / 7) x 56 x 56 m2= 9856 m2

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

30%
20%
10%
40%

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
The area of sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is?

17.5 sq.cms
8. 75 sq.cms
35 sq.cms
55 sq.cms

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of sector = ( arc length x radius ) / 2 cm2= (3.5 x 5 ) / 2= 8.75 cm2

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