Question 182264
Start with letting x = the quantity at the end of the first sentence, which in this case is the length.  Don't worry about the fraction.  We'll handle that in the easiest possible way LATER on!!  Don't let the problem intimidate you.  It probably isn't as bad as you think it is.


Now, let x = length.
{{{(2/3)x = width}}}.


2W + 2L = Perimeter
{{{2*(2/3)*x + 2*x = 60}}}
{{{4x/3 + 2x = 60}}}


Now, if you don't like fractions (and I don't know anyone who really does!), multiply both sides of the equation times 3:
{{{3*(4x/3) + 3*2x = 3*60 }}}
{{{4x + 6x=180}}}
{{{10x=180}}}
{{{x=18}}} inches = Length


Now, to find the width, take 2/3 of 18, which is 12 inches.  


The check is to see if the perimeter is 60 inches.
2W + 2L = P
2*12 + 2*18= 60
24+36= 60   It checks!!!


R^2