Perimeter of the rectangle = 2 (l + b) = 82 l + b = 41 b = 41 − l Area of the rectangle = l × b = 400 l × (41 − l) = 400 41l − l2 = 400 l2 − 41l + 400 = 0 l2 −16l − 25l + 400 = 0 l(l −16) − 25(l −16) = 0 l = 16, 25 not possible l = 25 breadth = 41 − l ⇒ 41 − 25 = 16 cm