72.0k views
5 votes
A scale drawing of a car is 3 1/4 inches long. If the scale is 1 inch = 3 1/2 feet, what is the length of the actual car?

A) 11.375 feet
B) 10.5 feet
C) 9.625 feet
D) None of the above

User Kareema
by
8.5k points

1 Answer

7 votes

Final answer:

To find the actual length of the car, multiply the length of the scale drawing (3 1/4 inches) by the scale factor (3 1/2 feet per inch), which gives you 11.375 feet. So, answer A) 11.375 feet is correct.

Step-by-step explanation:

The question is asking to find the actual length of a car based on a scale drawing. Using the given scale of 1 inch = 3 1/2 feet, we can set up a proportion to find the actual length. Since the scale drawing of the car is 3 1/4 inches long, we first convert that to an improper fraction which is 13/4 inches. Then, we multiply this by the scale factor to determine the actual length.

The calculation is as follows:

  • (13/4 inches) × (3 1/2 feet/inch) = (13/4) × (7/2) feet
  • When we multiply these fractions, we get 91/8 feet.
  • Converting 91/8 feet to a decimal, we get 11.375 feet.

So the actual length of the car is 11.375 feet. Therefore, the correct answer is A) 11.375 feet.

User Shrey Kejriwal
by
8.6k points