Question 923123

I can't seem to get the answer to this question: A= 36 square meters, P= 30 meters find the length and the width? Could you help me find the length and width please?
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Let width and length be W, and L, respectively
Then: 2(W + L) = 30_____2(W + L) = 2(15)_____W + L = 15_____W = 15 – L ------ eq (i)
LW = 30 ------- eq (ii)
L(15 – L) = 36 ------- Substituting 15 – L for W in eq (ii)
{{{15L - L^2 = 36}}}
{{{L^2 - 15L + 36 = 0}}}
(L - 12)(L - 3) = 0
L, or length = 12				OR				L = 3

If length = 12, then width = 3
If length = 3, then width = 12
Dimensions: {{{highlight_green(12m_by_3m)}}}