The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter

Question

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

Options:

A . 18 cm

B . 41 cm

C . 9 cm

D . 20 cm

Answer: Option A

√l2 + b2 = √41. Also, lb = 20. (l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81 ⟹ (l + b) = 9. ∴ Perimeter = 2(l + b) = 18 cm

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