Problema Solution
Pat wants to create a rectangular playpen for her dogs in her backyard, and estimates that the dogs will need 600 square feet. She also wants the length of the playpen to be 30 feet longer than the width, so they have room to run. What dimensions should the playpen be?
Answer provided by our tutors
let
l = the length of the playpen, l>0
w = the width of the playpen, w>0
She also wants the length of the playpen to be 30 feet longer than the width:
l = w + 30
the area of the playpen needs to be 600 ft^2 means:
l*w = 600
plug l = w + 30 into the last equation:
(w + 30)*w = 600
by solving we find:
w = 13.72 ft
click here to see the step by step solution of the equation:
l = 30 + 13.72
l = 43.72 ft
the dimensions of the playpen should be: the length 43.72 ft and the width 13.72 ft.