Abbey is getting new carpet in her living room and hallway. The following diagram shows the two together.

 

Note: Figure not drawn to scale

If a = 36 ft, b = 14 ft, c = 18 ft, and d = 18 ft, what is the area of the living room and hallway together?

(2 points)
Responses

86 ft2
86 ft 2

172 ft2
172 ft 2

396 ft2
396 ft 2

828 ft2

The area of the living room is 36 ft x 14 ft = 504 ft^2

The area of the hallway is 18 ft x 18 ft = 324 ft^2
Adding them together, the total area is 504 ft^2 + 324 ft^2 = 828 ft^2

Therefore, the correct answer is 828 ft^2.