Question

The perimeter and area of a rectangle are 48 cm and 140 cm^(2) respectively. Find the length and width of the rectangle.

Answer 1

l + w = 24--->l = 24 - w

lw = 140----->w(24 - w) = 140

24w - w² = 140

w² - 24w + 140 = 0

(w - 14)(w - 10) = 0

w = 10, l = 14

The length of the rectangle is 14 cm., and the width of the rectangle is 10 cm.