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Area - General Aptitude

Q1:

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

A 9 cm

B 18 cm

C 20 cm

D 41 cm

ANS:B - 18 cm

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