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The diagonal of a rectangle is sqrt(41) cm. and its area is 20 sq. cm. The perimeter of the rectangle must be:

9 cm
18 cm
20 cm
41 cm

Correct Answer: 18 cm

Explanation:

$l 2 + b 2$ = $d i a g o n a l 2$ =40

Also, lb=20

$l + b 2 = l 2 + b 2 + 2 l b$ = 41 + 40 =81

(l + b) = 9.

Perimeter = 2(l + b) = 18 cm.

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