Question 224992
Perimeter is:
{{{2L+2W=340}}}
From the relation given we can write:
{{{L=3W+6}}}
Plug this back into the initial equation:
{{{2(3W+6)+2W=340}}}
Simplify:
{{{6W+12+2W=340}}}
Combine like terms:
{{{8W+12=340}}}
Move the 12 to the other side:
{{{8W=328}}}
Divide both sides by 8:
{{{W=41}}}
Plug this back into our relation to determine L:
{{{L=3*41+6}}}
{{{L=129}}}
We can check this by adding our sides to determine the perimeter is 340:
{{{129+129+41+41=340}}}, so we are correct.