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Math Help - Setting up application

  1. #1
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    Setting up application

    A rectangular region with a perimeter of 58 feet has a side of length x. Find the dimensions (length and width) of the region if its area is 201.25 square feet. Answer to the nearest tenth of a foot.

    I just need help setting the up the equations for this problem. Thanks in advance.
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  2. #2
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    Re: Setting up application

    Quote Originally Posted by sideshowww View Post
    A rectangular region with a perimeter of 58 feet has a side of length x. Find the dimensions (length and width) of the region if its area is 201.25 square feet. Answer to the nearest tenth of a foot.

    I just need help setting the up the equations for this problem. Thanks in advance.
    1. Let p denote the perimeter, l the length and w the width of the rectangle.

    Then you know:

    p = 58 = 2l+2w

    area = a = 201.25 =l \cdot w

    2. Solve the the 1st equation for l. Sub in this term into the 2nd equation and solve for w. Consequently determine l.
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