Question

I need help asap 10 points.

A living room floor consists of an area rug and hardwood. The area of the rug is 195 square feet. What is the area (in square feet) of the entire living room?​

Answer 1

441 square feet

Explanation:

The rug area has dimensions x-6 and x-8. Its area is ...

A = LW

195 = (x -6)(x -8)

195 = x^2 -14x +48

196 = x^2 -14x +49 . . . . . . add 1 to make this a perfect square

14^2 = (x -7)^2

14 = x -7 . . . . . . take the square root

x = 14 +7 = 21

The area of the living room is ...

A = x^2 = 21^2 = 441 . . . square feet