<PRE><B>Question 914364</B>
A=lw
A=area of a rectangle
A+20=area of a square
s1=L-2
s2=w+3
A+20=(L-2)(w+3)
Lw+20=Lw-2w+3L-6
20=-2w+3L-6
26=-2w+3L
26+2w=3L
8+2/3+2/3w=L
w(8+2/3+2/3w)=A
8w+2/3w+2/3w^2=A
26/3w+2/3w^2=A
26/3w+2/3w^2+20=(w+3)(w+3)

26/3w+2/3w^2+20=w^2+3w+3w+9
26/3w+2/3w^2+20=w^2+6w+9
26/3w-18/3w+11=w^2-2/3w^2
8/3w+11=1/3w^2
-1/3w^2+8/3w+11=0
-w^2+8w+33=0
(-w+11)(w+3)=0
-w+11=0
-w=-11
w=11
A+20=(w+3)^2
A+20=14^2
A+20=196
A=176
The final area of the square is 196 square feet.
The area of the rectangle is 176 square feet.
</PRE>