Mensuration Practice Test 1

Question : 8 of 40

Marks: +1, -0

The perimeter of a rectangle is seven times the side of a square. If 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 the breadth of the rectangle?

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

Validate

Solution:

Side of the square =

√{576}

= 24 cm
Perimeter of the rectangle = 24 × 7 = 168
168 = 2 (56 + b)
⇒ b = 28
Radius of the circle = 28 cm
Area of the circle =

{22}/7

× 28 × 28 = 2464

cm^2

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