Q101 of 131 Page 226

A large square is made by arranging a small square surrounded by four congruent rectangles as shown in Fig. 9.53. If the perimeter of each of the rectangle is 16 cm, find the area of the large square.

Perimeter of rectangle = 2 × (l + b)


16 = 2 × (l + b)


⇒ l + b = 8 cm


Side of the square = l + b = 8 cm


Hence area = (side)2 = 82 = 64 cm2


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