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Area Problems

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

6%
5%
4%
9%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

None of these
18 cm
Data inadequate
24 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2(l + b) = 5 b 1 ⟹ 2l + 2b = 5b ⟹ 3b = 2l b = 2 l 3 Then, Area = 216 cm2 ⟹ l x b = 216 ⟹l x 2 l = 216 3 ⟹ l2 = 324 ⟹ l = 18 cm

Area Problems
The side of a square is 5 cm which is 13 cm less than the diameter of a circle. What is the approximate area of the circle?

245 sq cm
235 sq cm
265 sq cm
255 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Diameter of the circle = 13 + 5 = 18 cm? Radius = Diameter/2 =18/2 = 9 cm Area of the circle = ?r2 = (22/7) x 92 = (22 x 81)/9 = 1782/7 = 254.57 sq cm= 255 sq cm

Area Problems
Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is

1.967
1.567
1.867
1.767

ANSWER DOWNLOAD EXAMIANS APP

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?

Cannot be determined
49 m
7 m
14 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
Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is?

3.5 meters
14 meters
6 meters
12 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of a four walls = 2(l + 8) x 6 = 168m2? (l + 8) = 14? l = 14-8= 6 meters

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