Marisol is panting on a piece of canvas that has an area of 180 square inches the length of the painting is 1 and 1 fourth times the width w

Question

Marisol is panting on a piece of canvas that has an area of 180 square inches the length of the painting is 1 and 1 fourth times the width what are the dimensions of the painting?

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Lydia 2 weeks 2021-09-10T09:00:13+00:00 1 Answer 0

Answers ( )

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    2021-09-10T09:01:14+00:00

    Answer: Length = 15 inches

    Width = 12 inches

    Step-by-step explanation:

    The painting is rectangular.

    Let L represent the length of the painting.

    Let W represent the width of the painting.

    Area of a rectangle = LW

    Marisol is panting on a piece of canvas that has an area of 180 square inches. It means that

    LW = 180- – – – – – – – – – -1

    The length of the painting is 1 and 1 fourth times the width. It means that

    L = 1.25W

    Substituting L = 1.25W into equation 1, it becomes

    W(1.25W) = 180

    1.25W² = 180

    W² = 180/1.25

    W² = 144

    W = √144

    W = 12 inches

    L = 1.25W = 1.25 × 12

    L = 15 inches

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