## The length of a rectangular shipping pallet is 3 feet less than 3 times its width. Its area is 18 square feet.Find the dimensions of the pal

Question

The length of a rectangular shipping pallet is 3 feet less than 3 times its width. Its area is 18 square feet.Find the dimensions of the pallet . Find the dimensions of the pallet

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1 week 2021-09-08T10:58:49+00:00 2 Answers 0

3

Step-by-step explanation:

18/3=6

6-3=3

2. Answer: length = 6 feet

Width = 3 feet

Step-by-step explanation:

Let L represent the length of the pallet.

Let W represent the width of the pallet.

The shipping pallet is rectangular.

The length of a rectangular shipping pallet is 3 feet less than 3 times its width. This is expressed as

L = 3W – 3

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

Area = LW

Its area is 18 square feet. This is expressed as

LW = 18- – – – – – – — – – – 1

Substituting L = 3W – 3 into equation 1, it becomes

W(3W – 3) = 18

3W² – 3W – 18 = 0

Dividing through by 3, it becomes

W² – W – 6 = 0

W² + 2W – 3W – 6 = 0

W(W + 2) – 3(W + 2) = 0

W – 3 = 0 or W + 2 = 0

W = 3 or W = – 2

Since the width cannot be negative, then W = 3

L = 3W – 3 = 3 × 3 – 3

L = 9 – 3 = 6