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  1. #1
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    A rectangular park is three blocks longer than it is wide. the area of the park is 40 square blocks. If w represents the widths, write an equation in terms of w for the area of the park. Find the length and width of the park.
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    Quote Originally Posted by aznmartinjai View Post
    A rectangular park is three blocks longer than it is wide. the area of the park is 40 square blocks. If w represents the widths, write an equation in terms of w for the area of the park. Find the length and width of the park.
    Hello,

    let l be the length of the park
    let w be the width of the park

    Then you know: l = w + 3

    and a = l * w

    Plug in the term for l :

    a(w) = w \cdot (w+3) =  w^2 + 3w

    You know: a = 40

    Now you have a quadratic equation to solve:

    w^2 + 3w = 40 \Longleftrightarrow w = 5 \vee a = -8

    The negative solution isn't very plausible here. Thus the park is 8 blocks long and 5 blocks wide.
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