Mathematics

Question

Help on #97! Need to know how to work it out using polynomial equations!
Help on #97! Need to know how to work it out using polynomial equations!

1 Answer

  • Area = length * width
    length = (2 * width) - 1
    [tex] 10 = l*w\\
    10=(2w-1)*w\\
    10=2w^{2}-w\\
    2w^{2}-w-10=0\\
    (2w-5)(w+2)=0\\\\
    2w-5=0\\
    2w=5\\
    w=\frac{5}{2}=2.5\\
    w+2=0\\
    w=-2 [/tex]
    Since length cannot be negative, w = -2 is not a solution. Thus, [tex] \frac{5}{2}~ft[/tex] is your width.
    Since length = 2 * width - 1, plug in width:
    [tex] l=2(\frac{5}{2})-1\\
    l=5-1\\
    l=4~ft[/tex]
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