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

Answers ( )

    0
    2021-09-08T11:00:02+00:00

    Answer:

    3

    Step-by-step explanation:

    18/3=6

    6-3=3

    0
    2021-09-08T11:00:46+00:00

    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

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