A rectangle pen for a pet is 5ft long.......

Question

A rectangle 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 266 and 750 square feet, inclusively. The width of the pen from the smaller value of the width is how many feet to the larger value of the width, and how many feet inclusively

Answer 1

l = w + 5 = length

w = width

area (a) in range 266 to 750

a = l*w

lower limit

a = (w + 5)*w      remember: (14^2 = 196)

a = w^2 + 5w

266 = 14^2 + 5*14  lower limit is w = 14

upper range

750 = w^2 + 5w  remember 25^2 = 625

750 = 25^2 + 5*25

w = 25 is upper limit