Final answer:
To find the actual diameter of the pool from a scale drawing, set up a proportion using the scale factor, 1/72, and cross-multiply to solve. The actual diameter of the swimming pool is found to be 9 feet.
Step-by-step explanation:
The question seems to have some typos or irrelevant parts, so I'll refocus on the problem regarding the scale drawing and actual dimensions, which is a typical example of solving proportion problems in mathematics.
Step-by-Step Solution for Scale Drawing Problem
First, understand that the scale drawing's diameter of the swimming pool is 1(1/2) inches, and the scale factor is 1/72.
To find the actual diameter, we set up a proportion using the given scale factor: (1.5 inches)/(actual diameter) = (1 inch)/(72 inches).
Cross-multiplying this proportion gives us: 1.5 inches × 72 inches = actual diameter × 1 inch. Solving for the actual diameter, we get actual diameter = 1.5 inches × 72.
After calculating, the actual diameter in inches is 1.5× 72 = 108 inches.
To convert the actual diameter from inches to feet, we use the fact that 1 foot = 12 inches. So, the actual diameter in feet is 108 inches ÷ 12 inches per foot = 9 feet.
This process of setting up and solving proportions is fundamental in dealing with scale measurement and converting them into actual dimensions.