Tim Brown wants to enclose his children's play area with fencing. Tim found that he needs to install 50 feet of fencing around the rectangular play yard. If the yard covers 150 square feet, what are its dimensions?

Answer 1

2w+2l = 50
w+l=25 or l = 25-w

Also wl = 150
w(25-w) = 150
25w - w^2 - 150 = 0
w^2 - 25w + 150 = 0

solve the quadratic using your favourite method, however I can plainly see nice factors.