Mensuration Practice Test 4

Question : 32 of 40

Marks: +1, -0

The perimeter of a rectangle is seven times the side of a square. The area of the square is 576 sq. cm. The length of the rectangle is 56 cm. What is the area of a circle whose radius is equal to breadth of the rectangle?

2,486 sq. cm
2,646 sq. cm
2,464 sq. cm
Cannot be determined

Validate

Solution:

Area of the square = 576

cm^2

Side of the square = 24 cm.
Perimeter of the rectangle = 7 (24)
= 168 cm.
2(l + b) = 168
2(56 + b) = 168
2b = 168 −112
2b = 56
b = 28
Area of the circle =

πr^24

{22}/7 × 28 × 28

= 2464

cm^2

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