Question 698126
Set-Up
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L = length
W = width
The perimiter of a rectangle is given by P = 2L + 2W
Given: P = 26
Equation 1: {{{26 = 2L + 2W}}}
Equation 2: {{{L = W + 5}}}

Solution:
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Plug (W + 5) into equation 1 for L
Equation 1: {{{26 = 2L + 2W}}}
{{{26 = 2*(W + 5) + 2W}}}
Simplify
{{{26 = 2W + 10 + 2W}}}
Simplify
{{{26 = 4W + 10}}}
Subtract 10 from both sides
{{{16 = 4W}}}
Divide both sides by 4
{{{highlight(4 = W)}}}
Now plug 4 into equation 2 for W
Equation 2: {{{L = W + 5}}}
{{{L = (4) + 5}}}
{{{highlight_green(L = 9)}}}
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The equation for the area of a rectangle is A = L*W
So: {{{A = 9 * 4}}}
{{{highlight(A = 36)}}}
The area of the rectangle is 36 square centimeters