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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
E .  None of these
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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