Question

A bookmark has a perimeter of 50 centimeters. its area is 136 square centimeters. what are the dimensions of the bookmark?

Answer 1

l + w = 25 and lw = 136

w(25 - w) = 136

25w - w² = 36

w² - 25w - 136 = 0

(w - 17)(w - 8) = 0

w = 8, so l = 17

The dimensions of the bookmark are 8 cm by 17 cm.