Question 1021988
8x for the square, and w and L for the rectangle.  The reason why 8x is because the description gives it that way for the square.


{{{system(4*8x=2w+2L,w=10,L=5x+8)}}}


Simplify the perimeter equation and substitute for w and for L in this perimeter equation.
{{{16x=w+L}}}
-
{{{16x=10+5x+8}}}
{{{11x=18}}}
{{{highlight(x=18/11)}}}



Use x to find value of L.
{{{L=5(18/11)+8}}}
{{{L=(5*18+88)/11}}}
{{{highlight(L=178/11)}}}


The solution here did not yet include finding the perimeters of the two figures, but you can now do this because w, x, and L are now all found and known.