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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
Explanation:

$ \sqrt{l^2 + b^2} $ = $ \sqrt{41} $ .

Also, lb = 20.

(l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81

$\Rightarrow$ (l + b) = 9.

$\therefore$ Perimeter = 2(l + b) = 18 cm.

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