Answer:
[tex]198\ ft^2[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that the area of the room is equal to the area of a rectangle plus the area of a trapezoid
step 1
Find out the area of the rectangle
[tex]A_1=(18)(9)=162\ ft^2[/tex]
step 2
Find out the area of the trapezoid
[tex]A_2=\frac{1}{2} (9+3)(6)=36\ ft^2[/tex]
step 3
Sum the areas
[tex]A=A_1+A_2[/tex]
substitute the values
[tex]A=162++36=198\ ft^2[/tex]
