Question 915614
The length of the rectangular garden measures k feet more than m times the width of the garden. The perimeter of the garden is p feet.


KNOWN: k, m, p
UNKNOWN w for width and L for length


L=mw+k;  2w+2L=p;


{{{2w+2(mw+k)=p}}}
{{{2w+2mw+2k=p}}}
{{{2w+2mw=p-2k}}}
{{{w(2+2m)=p-2k}}}
{{{highlight(w=(p-2k)/(2+2m))}}}


{{{L=mw+k}}}
{{{L=m((p-2k)/(2+2m))+k}}}
{{{L=m(p-2k)/(2+2m)+k(2+2m)/(2+2m)}}}
{{{L=(mp-2km+2k+2km)/(2+2m)}}}
{{{highlight(L=(mp+2k)/(2+2m))}}}


Substitute the known values to evaluate w and L.