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

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 . 9 cm

B . 18 cm

C . 20 cm

D . 41 cm

Answer: Option B

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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