Question

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

Answer 1

Answer:

Step-by-step explanation:

Area of the good part= area of whole roof - area of bad part

Since the roof is a square roof, the area will be calculated using the formulae for area of a square

Area of a square =length²

Area of good part =(x+12)²-x²

A= {(x+12)(x+12)} - x²

A = (x²+12x+12x+144) -x²

Open the bracket and rearrange the equation

A= x²-x²+24x+144

A=(24x+144) ft