e area is 240,000 square feet? 2.) A backyard is in the shape of a rectangle. The distance around the yard is 280 feet and it has an area of 2,400 square feet. What are the dimensions of the yard?

Answer 1

(2)

LW = A

P = 2(L + W)

LW = 2400

2(L + W) = 280

L = 280/2 - W = 140 - W

(140 - W)W = 2400

140W - W² = 2400

W² - 140W + 2400 = 0

(W - 120)(W - 20) = 0

There are 2 possibilites:

(i)

W = 120

L = 140 - W = 140 - 120 = 20

or

(ii)

W = 20

L = 140 - 20 = 120