Question 54802
{{{ P=2(l+w) }}}
{{{ l = 2+w }}}
Substitute the 2nd equation into the first
{{{ P =2(2+w+w) }}}
add like terms
{{{ P = 2(2 + 2w) }}}
Distribute the 2
{{{ P = 4 + 4w }}}
By your problem the Perimiter is 52
{{{ 52 = 4 + 4w }}}
subtract 4 from both sides
{{{ 48 = 4w }}}
divvide by 4
{{{ 12 = w }}}
Substitute 12 back into the 2nd equation
{{{ l = 2+w }}}
{{{ l = 2+12 }}}
{{{ l = 14 }}}
Dimensions of the rectangle are 12 X 14