To calculate the cost of carpeting the lobby, we first need to find the area of the lobby in square yards.
Looking at the shape on the right, we can see that it can be divided into a rectangle with dimensions 47 yards by 45 yards and a smaller square with dimensions 2 yards by 2 yards.
Area of the rectangle = length x width
Area of the rectangle = 47 yards x 45 yards = 2115 square yards
Area of the square = side x side
Area of the square = 2 yards x 2 yards = 4 square yards
Total area = area of rectangle + area of square
Total area = 2115 square yards + 4 square yards = 2119 square yards
Now, we calculate the cost of carpeting the entire lobby:
Cost per square yard = $21
Total cost = $21 x 2119 square yards
Total cost = $44,499
Therefore, the cost of carpeting the lobby will be $44,499.
The shape on the right represents the lobby of a conference center. The lobby will be carpeted at a cost of $21 per square yard. How much will the carpeting cost?
47 yd
47 yd
47 yd
45 yd
32 yd
1 answer