Question

the room shown in the diagram is being carpeted. *not drawn to scale how many square feet of carpet are needed for this room? a. 90 ft² b. 97 ft² c. 107 ft² d. 115 ft² e. 157 ft²

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle has dimensions 5 ft by 5 ft and the other has dimensions 12 ft by (11 - 5)=6 ft.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the 5 ft by 5 ft rectangle, $A_1=5\times5 = 25$ square - feet.

Step3: Calculate area of second rectangle

For the 12 ft by 6 ft rectangle, $A_2 = 12\times6=72$ square - feet.

Step4: Calculate total area

The total area $A = A_1+A_2$. So, $A=25 + 72=97$ square - feet.

Answer:

B. 97 ft²