Answer:
Area of good part of roof =
[tex]A(x) = (24x + 144)~ft[/tex]
Step-by-step explanation:
We are given the following in the question:
Length of square roof =
[tex](x+12)~ft[/tex]
Length of square patch =
[tex]x~ft[/tex]
Area of square =
[tex]A = (\text{Side})^2[/tex]
We have to find the area of good part of roof.
Area of good part of roof =
Area of roof - Area of patch
[tex]A(x) = (x+12)^2 - (x)^2 \\A(x) = (x+12+x)(x+12-x)\\A(x) = (2x+12)12\\A(x) = (24x + 144)~ft[/tex]
is the required area of roof.
