73.2k views
24 votes
We need a flower garden with a perimeter of 18 feet and an area of 18 square feet.what is the Length and width



1 Answer

4 votes

Answer:

length is 6feet and width is 3 feet

Explanation:

Area of the garden = LW

Perimeter of the garden = 2(L+W)

L is the length

W is the width

Given

Area = 18 square feet

Perimeter = 18feet

Substitute

18 = LW ... 1

18 = 2(L+W)

9 = L+W .... 2

From 2;

L = 9-W

Substitute into 1

18 = (9-W)W

18 = 9W-W²

W²-9W+18 = 0

W²-6W-3W+18 = 0

W(W-6)-3(W-6) = 0

W-3 = 0

W = 3 feet

Since L = 9-W

L = 9-3

L = 6feet

Hence the length is 6feet and width is 3 feet

User M A Russel
by
5.2k points