Question

Chen is building a ramp for his remote control car. He wants the end of the ramp to extend 4 feet from the base of the ramp. The base of the ramp is 18 inches long. What should the piece of the wooden ramp be?

a) 2.8 feet

b) 2.6 feet

c) 2.4 feet

d) 2.2 feet

Answer 1

Final Answer:

Chen should make the wooden ramp piece 2.4 feet long, ensuring a 4-foot extension from the 18-inch base. Thus the correct option is:c) 2.4 feet

Explanation:

Chen should make the wooden ramp piece 2.4 feet long. To determine this, we need to convert the base length from inches to feet, as the given extension is in feet. The base of the ramp is 18 inches, which is equivalent to 1.5 feet (since 1 foot = 12 inches). Adding the desired extension of 4 feet gives us a total length of 5.5 feet.

To find the length of the wooden ramp piece, we subtract the base length from the total length: 5.5 feet - 1.5 feet = 4 feet. Therefore, the wooden ramp piece should be 2.4 feet to achieve the desired extension of 4 feet from the base. This ensures that the ramp meets Chen's specifications for his remote control car. Thus the correct option is:c) 2.4 feet

Answer 2

Chen should make the wooden ramp piece "b)2.6 feet" long.

Step-by-step explanation:

To determine the length of the wooden ramp piece, we need to consider the base length and the extension length. The base of the ramp is given as 18 inches, and Chen wants the end of the ramp to extend 4 feet. First, let's convert the base length to feet for consistency.

The base length in feet = 18 inches / 12 inches/foot = 1.5 feet

Now, add the base length and the desired extension:

Total length = Base length + Extension length

= 1.5 feet + 4 feet

= 5.5 feet

Therefore, the wooden ramp piece should be 5.5 feet long. However, the provided options for the answer are in increments of 0.2 feet. To find the closest option, we round 5.5 feet to the nearest 0.2 feet, resulting in 2.6 feet.

In conclusion, Chen should make the wooden ramp piece "2.6 feet" long to achieve a total ramp length of 5.5 feet, including the base and the desired extension.