Algebra Story Problem

Question

A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on the fourth side. The side parallel to the shed needs to be  half the length of an adjacent side. If the area of the region is 1250ft^2 , how many feet of fencing should be purchased?

Answer 1

Draw and label of diagram!

x represents the side parallel to the shed

2x represents each of the other two sides

2x² = 1250

x² = 625

x = 25

How many feet of fence does he need?