Question

A flat, square roof needs a square patch in the corner to seal a leak. The side length of the roof is (x 1 12) ft and the side length of the patch is x ft. What is theareaofthegoodpartoftheroof?

Answer 1

Answer:

Area of good part of roof =

$A(x) = (24x + 144)~ft$

Step-by-step explanation:

We are given the following in the question:

Length of square roof =

$(x+12)~ft$

Length of square patch =

$x~ft$

Area of square =

$A = (\text{Side})^2$

We have to find the area of good part of roof.

Area of good part of roof =

Area of roof - Area of patch

$A(x) = (x+12)^2 - (x)^2 \\A(x) = (x+12+x)(x+12-x)\\A(x) = (2x+12)12\\A(x) = (24x + 144)~ft$

is the required area of roof.