Hello there!
a) Basically, you are adding the length of porch to the original length of the parlor.
Let's say that the newly added porch is x.
(50 + x)(32 + x)
1600 + 50x + 32x + x²
x² + 82x + 1600
b) Just make the polynomial x² + 82x + 1600 equal to 2320.
x² + 82x + 1600 = 2320
subtract 2320 on both sides to make the polynomial equal to 0.
x² + 82x - 720 = 0
factor this
(x - 8)(x + 90) = 0
(x - 8) =0 (x + 90) = 0
x = 8 x = - 90
(-90ft doesn't make sense. So don't mind about this.)
So the porch should be 8ft.
Hope this helped!
