The shape on the right represents the lobby of a conference center. The lobby will be carpeted at a cost of ​$22 per square yard. How much will the carpeting​ cost?

43 yd
43 yd
43 yd
48 yd
32 yd

1 answer

To calculate the cost of the carpeting, we need to find the total square yards of the lobby.

Looking at the shape on the right, we can see that it can be divided into three rectangles.

Rectangle 1: 3 yards by 8 yards = 24 square yards
Rectangle 2: 3 yards by 20 yards = 60 square yards
Rectangle 3: 3 yards by 10 yards = 30 square yards

Total square yards = 24 + 60 + 30 = 114 square yards

Therefore, the cost of carpeting the lobby will be:
114 square yards * $22 per square yard = $2508

So, the carpeting will cost $2508.