Question 335639
For a rectangle, the area is,
1.{{{A=L*W=126}}}
and the perimeter is,
{{{P=2L+2W=50}}}
2.{{{L+W=25}}}
From eq. 1,
{{{L=126/W}}}
Substitute into eq. 2,
{{{126/W+W=25}}}
{{{126+W^2=25W}}}
{{{W^2-25W+126=0}}}
{{{(W-18)(W-7)=0}}}
Two solutions:
{{{W-18=0}}}
{{{W=18}}}
Then 
{{{L=126/18=7}}}
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.
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{{{W-7=0}}}
{{{W=7}}}
{{{L=126/7=18}}}
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.
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The rectangle is 7in x 18in.