A rectangular vegetable patch has a perimeter of 36 meters and an area of 80 square meters. What are the dimensions of the veget

Question

2 years ago

7

able patch?

1 answer:

hjlf · Answer 1 · 2022-08-01T02:16:49+03:00

hjlf2 years ago

5 0

Answer: 5 and 4

Step-by-step explanation:

Perimeter = 2 ( L + W)

18 = 2(L + W) divide through by 2

9 = L + W

9 - L = W

Area = L * W

20 = L (9 - L)

20 = 9L - L^2

L^2 - 9L + 20 = 0 factor

(L - 5) (L - 4) = 0

Set both factors to 0 and solve for L

L = 5 and L = 4