You are designing a rectangular flower Bed that spans across the front of a business and will cover an area of one 25 ft.² if the width is 1

Question

You are designing a rectangular flower Bed that spans across the front of a business and will cover an area of one 25 ft.² if the width is 1/5 the link find the dimensions of the flower bed

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Josephine 2 weeks 2021-11-20T19:28:24+00:00 1 Answer 0

Answers ( )

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    2021-11-20T19:29:32+00:00

    Answer:

    Length=11.18 ft

    Width=2.236 ft

    Step-by-step explanation:

    Step 1

    Express the dimensions of the rectangular flower Bed as shown;

    length=x

    width=1/5 of the length=1/5×x=(1/5)x

    Step 2

    Express the formula for calculating area;

    A=L×W

    where;

    L=length of the flower bed

    W=width of the flower bed

    In our case;

    A=25 ft²

    L=x

    W=1/5x

    replacing;

    (1/5x)×x=25

    (1/5) x²=25

    x²=25×5=125

    √x²=√125 ft²

    x=11.18 ft

    Length=11.18 ft

    Width=(1/5)×11.18=2.236 ft

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