area and perimeter word problems

Question

The area of a diving board is 15 square feet. The perimeter is 32 feet. What are the dimensions of the diving board?

Answer 1

A =LW = 15

P = 32 = 2(L+W)

16 = L+W

L=16-W

LW=15

(16-W)W = 15

16W -W^2 = 15

W^2-16W +15 = 0

(W-15)(W-1) = 0

W =15 or 1

L=16-1 = 15

the diving board is 15 feet long and 1 foot wide