Question 957716
L=length (Parallel to wall); W=width (Perpendicular to wall); A=area=750m^2
L+2W=80m
L=80m-2W
A=L*W Substitute for L
{{{750m^2=(80m-2W)(W)}}}
{{{750m^2=80W-2W^2}}} Subtract 750m^2 from each side.
{{{0=-2W^2+80W-750m^2}}} Multiply each side by (-1/2)
{{{0=W^2-40W+375m^2}}}
{{{0=(W-25)(W-15)}}}
{{{W-25=0}}} or {{{W-15=0}}} ANSWER 1: The width is 15 meters.(or 25m)
L=80m-2W=80m-2(15m)=80m-30m=50m ANSWER 2: The length is 50 meters.(or 30m)
CHECK:
{{{A=L*W}}}
{{{750m^2=(50m)(15m)}}} or {{{750m^2=(30m)(25m)}}}
{{{750m^2=750m^2}}} or {{{750m^2=750m^2}}}