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1 July, 21:55

Samantha's rectangle flower garden is surrounded by a 4 meters wide. The flower garden is 6 meters longer than it is wide. If the total area is 1015 square meters, find the dimensions of the flower garden

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  1. 2 July, 01:06
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    Answer: the width is 29 meters

    The length is 35 meters

    Step-by-step explanation:

    The garden is rectangular in shape. The width of the garden is 4 meters.

    The flower garden is 6 meters longer than it is wide. This means that

    Length = width + 6

    L = w + 6

    The total area is 1015 square meters. The area of a rectangle is expressed as L*W. Therefore

    LW = 1015

    Substituting L = W + 6 into the above equation,

    W (W+6) = 1015

    W^2 + 6W - 1015 = 0

    W^2 + 35W - 29W - 1015 = 0

    W (W+35) - 29 (W+35) = 0

    W-29 = 0 or W + 35 = 0

    W = 29 or W = - 35

    The width cannot be negative, so w = 29

    L = w + 6

    L = 29 + 6 = 35
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