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Area Problems

Area Problems
The area of an equilateral triangle whose side is 8 cms is?

4?3 cm2
64 cm2
21.3 cm2
16?3 cm2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Req. Area = ?3/4 x a2 = ?3/4 x 82 cm2= 16?3 cm2

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
If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.

9%
5%
6%
4%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,Percentage increase in diagonals = 5%

Area Problems
A rectangle has 30 cm as its length and 720 sq cm as its area. Its area is increased to 1 1/ 4 times its original area by increasing only its length. Its new perimeter is

123 cm
119 cm
121 cm
125 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Original breadth of rectangle = 720/30 = 24 cmNow , area of rectangle = (5/4) x 720 = 900 cm2? New length of rectangle = 900/24 = 37.5 cm? New perimeter of rectangle = 2(l+ b)= 2(37.5 + 24 ) = 2 x 61.5 = 123 cm

Area Problems
The area of a rectangle, 144 m long is the same as that of a square having a side 84 m long. The width of the rectangle is?

7 m
14 m
Cannot be determined
49 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the square = (84 + 84) m2Area of the rectangle = (144 x width) m2From question both area would be same,? Width = (84 x 84) / 144 m = 49 m

Area Problems
One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram?

22.56 cm2
12.56 cm2
14.56 cm2
16.76 cm2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of parallelogram = Base x Height = 8.06 x 2.08 = 16.76 cm2

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