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Area Problems

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

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

ANSWER DOWNLOAD EXAMIANS APP

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

40%
20%
30%
10%

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
Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.

18 cm
15 cm
14 cm
20 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, a = 6 cm, b = 4 cm and c = 5 cm Required perimeter = a + b + c= 6 + 4 + 5 cm = 15 cm

Area Problems
The ratio between the length and breadth of a rectangular field is 5:4. If the breadth is 20 meters less than the length, the perimeters of the field is?

260 m
360 m
none of these
280 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length of rectangular field = 5y,so width = 4y.From question5y - 4y = 20m? x = 20m ? Length = (5 x 20)m = 100 mBreadth = (4 x 20) m = 80 m ? Perimeter = 2 (100 + 80 ) m = 360 m

Area Problems
The length of hall is (4/3) times its breadth. If the area of hall be 300 square meters, the difference between the length and the breadth is?

15 meters
None of these
4 meters
3 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = b meters.Then, length = 4b/3 meters.? b x 4b/3 = 300? b2 = 300 x 3/4 ? b2 = 225? b = 15Hence, required difference = [(Length) - (Breadth) ]= 4b/3 - b = b/3= 15/3 m= 5 m

Area Problems
The Area of a square is 50 sq. units. Then the area of the circle drawn on its diagonal is?

25? sq. units
100? sq. units
50? sq. units
None of theas

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = (Diagonal)2 / 2 = 50? Diagonal = 10 units ? Radius of required circle = 5 unitsIts area = [? x (5)2 ] cm2= 25? units2

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