Question 192829
A=L*W..........eq 1
P=2L+2W........eq 2
P=170..........eq 3
A=1750.........eq 4
:
take P's value from eq 3 and plug into eq 2 and A's value from eq 4 and plug them into eq 2
:
1750=L*W....eq 1 revised
170=2L+2W...eq 2 revised
:
rewrite eq 1 to W=1750/L and plug into eq 2
:
170=2L+2(1750/L)
:
3500/L=170-2L
:
{{{3500=170L-2L^2}}} 
:
{{{L^2-85L+1750=0}}}divided all terms by 2
:
{{{(L-50)(L-85)}}}
:
W=1750/L=1750/50 or 1750/85
:
If L which is the length is 50 then the width is 85
if L is 85 then the width is 50
:
dimensions are 50 X 85