A Rectangular parking lot has a length that is 4 yards greater than the width the area of the parking lot is 480 square yards. Find the length and the width you say formula area equals l•w

length of rectangular parking lot = 24 yards

Width of rectangular parking lot = 20 yards.

Step-by-step explanation:

Let L represent the length of the rectangular parking lot.

Let W represent the width of the rectangular parking lot.

The rectangular parking lot has a length that is 4 yards greater than the width. It means that

W = L - 4

The formula for determining the area of a rectangle is expressed as

Area = LW

The area of the parking lot is 480 square yards.. It means that

LW = 480- - - - - - - - - - 1

Substituting W = L - 4 into equation 1, it becomes

L(L - 4) = 480

L² - 4L = 480

L² - 4L - 480 = 0

L² + 20L - 24L - 480 = 0

L(L + 20) - 24(L + 20) = 0

L - 24 = 0 or L + 20 = 0

L = 24 or L = - 20

Since the length cannot be negative, then L = 24

W = L - 4 = 24 - 4

W = 20

1.5%

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