Harry needs to build a fence around his garden, but first he must figure out the dimensions of his garden. The length of his rectangular gar

Question

Harry needs to build a fence around his garden, but first he must figure out the dimensions of his garden. The length of his rectangular garden is 6 more than the width, and the area of the garden is 27 m units. Determine the dimensions of Harry’s garden.

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Adalynn 2 weeks 2022-01-12T08:50:17+00:00 1 Answer 0 views 0

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    2022-01-12T08:51:18+00:00

    Answer:

    width=3m

    length=9m

    Step-by-step explanation:

    -Let w be the width of the garden.

    -Given that the length is 6 units more than the width, l=w+6

    -We apply the area formula to solve for w:

    A=lw\\\\27=w(w+6)\\\\w^2+6w-27=0\\\\\#Apply \ Complete \ Squares\\\\w^2-3w+9w-27=0\\\\w(w-3)+9(w-3)=0\\\\(w-3)(w+9)=0\\\\w=3 \ \ \or w=-9\\\\\therefore w=3m\\\\l=w+6=3+6=9m

    Hence, the garden’s width is 3 m and the length is 9 m

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