Question 118024
{{{P=2L+2W}}} Start with the perimeter formula



{{{26=2L+2(10)}}} Plug in P=26 and W=10



{{{26=2L+20}}} Multiply



{{{0=2L+20-26}}}Subtract 26 from both sides



{{{-2L=20-26}}} Subtract 2l from both sides



{{{-2L=-6}}} Combine like terms on the right side



{{{L=(-6)/(-2)}}} Divide both sides by -2 to isolate l




{{{L=3}}} Divide


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Answer:

So our answer is {{{L=3}}} 



When the length is 3 and the width is 10, the perimeter is 26



Check:


{{{P=2L+2W}}} Start with the perimeter formula



{{{26=2(3)+2(10)}}} Plug in P=26, L=3, and W=10



{{{26=6+20}}} Multiply



{{{26=26}}} Add. Since the two sides of the equation are equal, this verifies our answer.