Help with my Algebra Homework

Question

6. A contractor is building a fenced-in area at a daycare. The area will be rectangular with the length of its base equal to half the length of the height. The total area will be 5000 square feet. Determine the length of fencing the contractor will use.

Answer 1

(1/2)x * x = 5000

(1/2) x^2 = 5000

x^2 = 10000

x = 100

rectangle 100 by 50