Question 954639
L=length; W=width (or breadth); A=area; P=perimeter=22km
{{{15L=40W}}}
{{{L=(40/15)W=(8/3)W}}}
{{{P=2(L+W)}}} Substitute for L
{{{22km=2(((8/3)W)+W)}}} Divide each side by 2.
{{{11km=(11/3)W}}} Multiply each side by 3/11
{{{3km=W}}} The width is 3 kilometers.
{{{15L=40W}}}
{{{15L=40(3km)}}}
{{{L=120km/15}}}
{{{L=8km}}} The length is 8 kilometers.
A=L*W=8km*3km=24 sq km ANSWER: The area is 24 square kilometers.
CHECK:
P=2(L+W)
22km=2(8km+3km)
22km=2(11km)
22km=22km