Question

The perimeter of a rectangular restaurant kitchen is 56 meters. The area is 171 square meters. What are the dimensions of the kitchen?

Answer 1

Dimensions are L=19, w=9, or L=9, w=19

Explanation:

Perimeter P=2(L+W)

So, 56=2(L+W)

28=L+W

L=28-W

Area A=L*W

Because A=171, so 171=L*W

Substituting the expressions: put L=28-w, to 171=L*W,

So, 171=(28-W)W

171=28w-w²

W²-28W+171=0

(W-9)(W-19)=0

W=9, or W=19

We got L=28-W before, so when w=9, put to L=28-W, so, L=19

Dimensions are L=19, w=9, or L=9, w=19

Answer 2

answer: b = 9metres

l = 19metres