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A rectangle and a square have the same perimeter (Fig. 6.10).

(a)    The area of the rectangle is _________.    

(b)    The area of the square is _________.

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(a) Area of a rectangle = length × breadth
                                     = (6 × 2) sq units = 12 sq units
(b) Given,
 Perimeter of a rectangle = Perimeter of a square
⇒ 2(length + breadth) = 4 × side ⇒ 2(6 + 2) = 4 × side ⇒ 2(8) = 4 × side
⇒ side = 4 units
∴ The area of square = side × side
= (4 × 4) sq units = 16 sq units

Posted by

Sumit Saini

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