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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
3:1
2:1
4:1

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
If each side of a square is increased by 25%, find the percentage change in its area.

36.25%
56.25%
12.25%
16.25%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let each side of the square be a. Then, area = . a 2 New side = 125 a 100 = 5 a 4 . New area =  5 a 4 2  =  25 a 2 16   Increase in area =  25 a 2 16 - a 2 = 9 a 2 16 Increase% =  9 a 2 16 * 1 a 2 * 100  % = 56.25%.

Area Problems
The two parallel sides of a trapezium are 1 meters and 2 meters respectively . The perpendicular distance between them is 6 meters. The area of the trapezium is?

18 sq. meters .
9 sq. meters .
12 sq. meters .
6 sq. meters .

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of trapezium = 1/2 x sum of parallel sides x perpendicular distance between them= 1/2 (1 + 2) x 6 m2= 9 m2

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

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

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 rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is?

(100/ ? 3 ) meters
100 meters
33 meters
66.66 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = b meters. then, length = 3b/2 meters ? b x 3b/2 = 2/3 X 10000? b2 = (4 x 10000)/9? b = ( 2 X 100)/3 m ? Length = (3/2) x (2/3) x 100 m= 100 m

Area Problems
The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas.

9 : 2
9 : 4
9 : 7
9 : 5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the diagonals of the squares be 3x and 2x.? Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)] = 9/4

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