Question

2. You plan to replace the carpeting in the room shown. What is the

area of the room?
A 144 ft?
OB 198 ft?
9 ft
3 ft
C 171ft?
18 ft —
6 ft
OD 216 ft2
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o me
D
11B/2010​

Answer 1

198

Explanation:

Answer 2

`198\ ft^2`

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

`A_1=(18)(9)=162\ ft^2`

step 2

Find out the area of the trapezoid

`A_2=(1)/(2) (9+3)(6)=36\ ft^2`

step 3

Sum the areas

`A=A_1+A_2`

substitute the values

`A=162++36=198\ ft^2`