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Thread: Garden root

  1. #1
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    Unhappy Garden root

    A rectangular garden has length $\displaystyle 3 \sqrt 6$ metres and area $\displaystyle (9\sqrt2 - 6\sqrt3)$ square metres.

    a) Write and simplify an expression for the width of the garden.
    b) Determine the perimeter of the garden to the nearest tenth of a meter.

    I'm sooo confused
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by nathan02079 View Post
    A rectangular garden has length $\displaystyle 3 \sqrt 6$ metres and area $\displaystyle (9\sqrt2 - 6\sqrt3)$ square metres.

    a) Write and simplify an expression for the width of the garden.
    ok, so for a rectangle, area = length times width. so, if we let the width be
    $\displaystyle x$, we must have that

    $\displaystyle 3 \sqrt{6}x = 9 \sqrt{2} - 6 \sqrt{3}$

    now solve for $\displaystyle x$ and simplify the answer


    b) Determine the perimeter of the garden to the nearest tenth of a meter.
    remember, the perimeter is the distance around the figure, that is, the length of all the sides. the perimeter for a rectangle with width $\displaystyle x$ and length $\displaystyle y$ is given by:

    $\displaystyle P = 2x + 2y$
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