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Math Help - Find the dimensions

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    Find the dimensions

    A rectangle & a square both have a width of x, but the rectangle’s length is (x+6). Together their areas equal 176m^2. What are the dimensions of both ?
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    Quote Originally Posted by ohhhxlex View Post
    A rectangle & a square both have a width of x, but the rectangle’s length is (x+6). Together their areas equal 176m^2. What are the dimensions of both ?
    The area of the square is

    A_s=x^2

    The area of the rectangle is

    A_r=x(x+6)=x^2+6x

    And we know that there total area is

    A_s+A_r=176

    x^2+x^2+6x=176 \iff 2(x^2-3x-88)=0 \iff 2(x+11)(x-8)=0

    So we reject the negative solution (why?)

    and get x=8
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