Question

The public works department is repaving some of the roads in the city. The materials needed to repave this section of the road cost $2.50 per square foot. The road s 45 feet by 100 feet. What is the possible range for the area of the road? Round the answer to the nearest hundredth if necessary.

a) 4500.00 to 4555.56 square feet
b) 4495.00 to 4550.56 square feet
c) 4445.00 to 4545.56 square feet
d) 4450.00 to 4555.56 square feet

Answer 1

The area of the road is calculated by multiplying the width (45 feet) by the length (100 feet), resulting in an area of 4500 square feet. The cost is determined by multiplying the area by the cost per square foot ($2.50), totaling $11250. There is no range since only definite dimensions were given.

Step-by-step explanation:

The student is asking about calculating the area of a road for repaving purposes and estimating the cost based on the area. To find the area of a rectangle, you multiply its length by its width. In this case, the road is 45 feet wide and 100 feet long, so the area is:

Area = width × length = 45 feet × 100 feet = 4500 square feet

Therefore, the cost to repave this road would be:

Cost = area × cost per square foot = 4500 square feet × $2.50/square foot = $11250

Since there are no variables or ranges given for the dimensions of the road, the area is a single value, and not a range. The possible range for the area of the road is 4500.00 to 4500.00 square feet, indicating there is no variation - only a single exact measurement. So, the options provided for ranges of area are incorrect because they suggest variability where none exists in the information provided.