A 40' long boat is represented on a drawing with a 1/8"=1' scale. How long will the drawing be?

A 40' long boat is represented on a drawing with a 1/8"=1' scale. How long will the drawing be?

• A. 4"
• B. 5"
• C. 6"
• D. 8"

Answer: (B)

To determine the length of the drawing based on the given scale of 1/8" = 1', it's important to understand how this scale converts real-world measurements to a drawing format. First, we recognize that the boat is 40 feet long. Since the scale indicates that 1/8 inch on the drawing represents 1 foot in reality, we can calculate the length in inches for the drawing by converting the boat's actual length into the drawing length using this scale. To find out how many 1-foot intervals are in the total length of the boat, we see that for every foot of the actual boat length, it translates to 1/8 inch on the drawing. This means we will multiply the total feet of the boat by the scale: 1. Calculate the total length of the drawing: - The length of the boat is 40 feet. - Each foot of the boat corresponds to 1/8 inch on the drawing. - Therefore, the drawing length for 40 feet is: \( 40 \, \text{feet} \times \frac{1}{8} \, \text{inch/foot} = 5 \, \text{inches} \).

To determine the length of the drawing based on the given scale of 1/8" = 1', it's important to understand how this scale converts real-world measurements to a drawing format.

First, we recognize that the boat is 40 feet long. Since the scale indicates that 1/8 inch on the drawing represents 1 foot in reality, we can calculate the length in inches for the drawing by converting the boat's actual length into the drawing length using this scale.

To find out how many 1-foot intervals are in the total length of the boat, we see that for every foot of the actual boat length, it translates to 1/8 inch on the drawing. This means we will multiply the total feet of the boat by the scale:

1. Calculate the total length of the drawing:

• The length of the boat is 40 feet.

• Each foot of the boat corresponds to 1/8 inch on the drawing.

• Therefore, the drawing length for 40 feet is:

( 40 , \text{feet} \times \frac{1}{8} , \text{inch/foot} = 5 , \text{inches} ).