Question

I need help finding dimensions of a rectangular shape

Answer 1

Answer:Smaller value is 4 yards.

The larger value is 6 yards.

Step-by-step explanation:

Let L represent the length or larger value of the rectangular plot.

Let W represent the width or smaller value of the rectangular plot.

The area of the rectangular field is expressed as

LW = 24 - - - - - - - - - - 1

The formula for determining the perimeter of the rectangular fence is expressed as

2(L + W) = 20

L + W = 20/2 = 10

Substituting L = 10 - W into equation 1, it becomes

W(10 - W) = 24

10W - W² = 24

W² - 10W + 24 = 0

W² - 6W - 4W + 24 = 0

W(W - 6) - 4(W - 6) = 0

W - 4 = 0 or W - 6 = 0

W = 4 or W = 6

Substituting W = 4 and W = 6 into

L = 10 - W, it becomes

L = 10 - 4 or L = 10 - 6

L = 6 or L = 4