what is the width of the rectangle if the length is 4 times the reciprocal of the width and the perimeter is 10?

Answer 1

w represents the width

4 / w represents the length

2w + 2(4 / w) = 10

w + 4 / w = 5

w² + 4 = 5w

w² - 5w + 4 = 0

(w - 1)(w - 4) = 0