Question 869327
I guess the shape is a rectangle although the problem doesn't quite state it.
For a rectangle the area is 
{{{A=L*W}}}
You also know that,
{{{L=245+W}}} and {{{A=167750}}}
So then substitute,
{{{167750=(245+W)W}}}
{{{W^2+245W-167750=0}}}
You can factor this equation,
{{{(W-305)(W+550)=0}}}
Two solutions but only the positive width makes sense for this problem.
{{{W-305=0}}}
{{{W=305}}}{{{m}}}
Then,
{{{L=245+305}}}
{{{L=550}}}{{{m}}}
Verifying the solution,
{{{A=305(550)}}}
{{{A=167750}}}{{{m^2}}}
which is the expected answer.