Question 864900
The perimeter of a soccer field is 316 meters. The area is 5,985 square meters. What are the dimensions of the field?
<pre>
2L + 2W = 316____2(L + W) = 2(158)____L + W = 158_____L = 158 - W ----- eq (i)
LW = 5,985 ------------- eq (ii)
W(158 - W) = 5,985 ----- Substituting 158 - W for L in eq (ii)
{{{158W - W^2 = 5985}}}
{{{W^2 - 158W + 5985 = 0}}}
(W - 95)(W - 63) = 0
W, or width = 95     OR       W = 63

Dimensions: {{{highlight_green(95)}}} by {{{highlight_green(63)}}}
You can do the check!! 

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