Question 811401
The equation for the perimeter of a rectangle is P = 2L + 2W.
Equation 1: {{{66 = 2L + 2W}}}
Equation 2: {{{L = 3 + 5W}}}
Plug (3 + 5W) into equation 1 for L.
{{{66 = 2*(3 + 5W) + 2W}}}
Multiply the 2 through.
{{{66 = 6 + 10W + 2W}}}
Combine like terms.
{{{66 = 6 + 12W}}}
Subtract 6 from both sides.
{{{60 = 12W}}}
Divide both sides by 12.
{{{highlight(5 = W)}}}
Now plug 5 into equation 2 for W and solve for L.
Equation 2: {{{L = 3 + 5W}}}
{{{L = 3 + 5*(5)}}}
{{{highlight_green(L = 28)}}}