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30 July, 12:30

A rectangle patio has a length four times its width. It also has a 3-ft wide brick boarder around it. Write a quadratic function to determine the area of the patio and boarder?

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  1. 30 July, 12:43
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    Answer: Area = 4w² + 30w + 36

    Step-by-step explanation:

    Let w represent the width of the rectangular patio.

    The rectangle patio has a length four times its width. It means that the length of the patio is 4w.

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

    Area = length * width

    If the boarder is 3 ft, the combined length of the patio and the boarder would be (4w + 3 + 3) = (4w + 6) feet

    Also, the combined width of the patio and the boarder would be

    (w + 3 + 3) = (w + 6) feet

    Therefore, the expression for the area of the patio and boarder is

    Area = (4w + 6) (w + 6)

    Area = 4w² + 24w + 6w + 36

    Area = 4w² + 30w + 36
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