The shape on the right represents the lobby of a conference center. The lobby will be carpeted at a cost of ​$23 per square yard. How much will the carpeting​ cost?

49 yd
49 yd
49 yd
45 yd
33 yd

1 answer

To find the total cost of the carpeting, we first need to calculate the total area of the lobby.

Looking at the shape on the right, we can estimate that the lobby is approximately rectangular with dimensions of 7 yards by 7 yards.

Area = Length x Width
Area = 7 yards x 7 yards
Area = 49 square yards

Next, we multiply the total area by the cost of carpeting per square yard to find the total cost.

Total cost = Area x Cost per square yard
Total cost = 49 square yards x $23
Total cost = $1127

Therefore, the carpeting will cost $1127 for the lobby of the conference center.