Question 225329
So the equation for perimeter is:
{{{2w+21=212}}}
But, we need to get the relation between length and width from the information given:
{{{l=3w-8}}}
Plug the back into our perimeter equation:
{{{2w+2(3w-8)=212}}}
Distribute the 2:
{{{2w+6w-16=212}}}
Combine like terms:
{{{8w-16=212}}}
Add 16 to both sides:
{{{8w=228}}}
Divide both sides by 8:
{{{w=28.5 cm}}}
Plug this back into our relation:
{{{l=3*28.5-8}}}
{{{l=77.5}}}
So, l=77.5 and w=28.5