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18 October, 23:37

The area of a rectangular wall of a barn is 100 square feet. It's length is 10 feet longer than twice it's width. Find the length and width of the wall of the barn

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  1. 18 October, 23:44
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    The length would be 30 and the width would be 20

    Step-by-step explanation:

    For the purpose of this, we'll set the width as x. We can then define the length as x + 10 since we know it is 10 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.

    P = 2l + 2w

    100 = 2 (x + 10) + 2 (x)

    100 = 2x + 20 + 2x

    100 = 4x + 20

    80 = 4x

    20 = x

    Now since we know that the width is 20ft, we can add 10ft to it to get the length, which would be 30ft.
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