A bridge has a length of $1,000 ft.$, a width of 300 ft., and a height of 50 ft. The bridge has four lanes of equivalent width that are each 75 ft. wide. If the road commission wants to increase the number of lanes to six lanes, what is the new width of the bridge?
A. 450 ft.
B. 500 ft.
C. 400 ft.
D. 350 ft.
Answer (2)
Multiply the new number of lanes by the width of each lane.
Calculate the new width: 6 × 75 = 450 .
The new width of the bridge is 450 f t .
Explanation
Understanding the Problem We are given that the original bridge has 4 lanes, each 75 ft wide. The road commission wants to increase the number of lanes to 6. We need to find the new width of the bridge, assuming each lane remains 75 ft wide.
Finding the New Width To find the new width, we multiply the number of lanes by the width of each lane.
Calculating the New Width The new width is calculated as: 6 × 75 = 450 The new width of the bridge is 450 ft.
Examples
Imagine you are planning a city with roads. Each traffic lane needs to be 75 ft wide for safety and efficiency. If you initially planned for 4 lanes but now need 6 lanes due to increased traffic, you can calculate the new road width by multiplying the number of lanes by the width of each lane. This ensures you allocate enough space for the road in your city plan, preventing congestion and accidents. This problem demonstrates how basic multiplication is crucial in urban planning and infrastructure development.
The new width of the bridge, when increasing from 4 lanes to 6 lanes with each lane being 75 ft wide, is calculated as 450 ft. Therefore, the chosen option is A. 450 ft.
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