Question 698458
The perimeter of a rectangle is given by P = 2L + 2W
L = lengh
W = Width
Equation 1: {{{L = 3W}}}
Equation 2: {{{64 = 2L + 2W}}}
Plug 3W into equation 2 for L
Equation 2: {{{64 = 2L + 2W}}}
{{{64 = 2*(3W) + 2W}}}
Simplify
{{{64 = 6W + 2W}}}
Combine like terms
{{{64 = 8W}}}
Divide both sides by 8
{{{highlight(8 = W)}}}
Now plug 8 into equation 1 for W
Equation 1: {{{L = 3W}}}
{{{L = 3*(8)}}}
{{{highlight_green(L = 24)}}}
The area of a rectangle is given by A = L * W
A = 24cm * 8cm
A = 192 square cm