evaluating a math question
posted by willa on .
a Rectanglular pen for a pet is 5 feet longer than it is wide. give possible values for the width W of the pen if its area must be between 176 and 760 square feet inclusively. The width of the pen ranges from the smaller value of the width feet, to the larger value of the width , feet , inclusively.

w(w+5) = 176
w^2 + 5 w  176 = 0
(w 11)(w+16) = 0
w = 11
w^2 + 5 w = 760
w^2 + 5 w  760 = 0
use quadratic equation
w = 25.18, 30.18 or 25.18 for width
so
smaller is 11 and bigger is 25.18