Question

I decided to add a room to my house and now need to know the total square feet of the house. The dimensions of the original house are (X + 8) by (x + 12) and the dimensions of the new addition are x by (x + 6). What is the total area of my new house. What's the area of the original house? What's the area of the new addition? What's the total area of the house?

Answer 1

+) the area of the original house is:

(x + 8)(x + 12) = x² + 20x + 96.

+) the area of the new addition is:

(x + 6)x = x² + 6x

+) the total area of the house is:

x² + 20x + 96 + x² + 6x = 2x² + 26x + 96