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24 March, 00:49

A rectangular fence is 3 times as long as it is wide. The perimeter is 60ft. Find the dimensions of the fence

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  1. 24 March, 03:59
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    The length of the fence is 22.5ft and the width of the fence is 7.5ft.

    Explanation:

    To solve this problem we will turn this question into an equation.

    The equation for the perimeter of a rectangle is 2l + 2w = perimeter.

    In the question we were given the perimeter so we can go ahead and plug this in.

    2l + 2w = 60

    In the question we are also told that the fence is 3 times as long as it is wide. This means that 1l = 3w. We can now subsitute l for 3w so that we only have one variable.

    2 (3w) + 2w = 60

    Now we can simply use algebra to solve for w.

    6w + 2w = 60

    8w = 60

    w = 7.5

    Now that we know the value of w we can find the value of l since we know 1l = 3w.

    l = 3w

    l = 3 (7.5)

    l = 22.5

    The length of the fence is 22.5ft and the width of the fence is 7.5ft.
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