Q8 of 99 Page 264

If the length of rectangular garden with area 1200 sq. cm. is 40 cm. then let us write by calculating the area of square field which is drawn on its diagonal.

Let the length of rectangular garden be L and breadth be B


We know, area of rectangle = length × breadth


Given, L = 40cm, A = 1200cm2


A = L × B


⇒ 1200 = 40 × B


⇒ B = 30cm


We know, diagonal of a rectangle


Where, L = length of rectangle and B = breadth of rectangle


Diagonal of rectangle = side of square



Also, we know area of square = (side)2


= (50)2 = 2500 cm2


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