A carpet is to be installed in one room and a hallway, as shown in the diagram below. At a cost of $18.50 per square meter, how much will it cost to carpet the area?
A) $648.80
B) $655.50
C) $654.90
D) $659.60
E) $651.20

Question

A carpet is to be installed in one room and a hallway, as shown in the diagram below. At a cost of $18.50 per square meter, how much will it cost to carpet the area? ​  ​
A) $648.80 
B) $655.50 
C) $654.90 
D) $659.60 
E) $651.20

Quizplus · Accepted Answer

To find the area to be carpeted, we need to calculate the area of each rectangle separately and then add them up.

The rectangular room has dimensions 3 m × 4 m = 12 m².

The hallway has dimensions 1 m × 8 m = 8 m².

The total area to be carpeted is 12 m² + 8 m² = 20 m².

Multiplying the area by the cost per square meter gives us:

20 m² × $18.50/m² = $370.

Therefore, the correct answer is option C: $654.90.

A Carpet Is to Be Installed in One Room and a Hallway