Final answer:
To convert the actual dimensions of a rectangular pool into a scale drawing with a scale factor of 1/600, the pool's width of 150 ft becomes 3 inches and the length of 400 ft becomes 8 inches in the drawing.
Step-by-step explanation:
The question is asking how to turn the actual dimensions of a rectangular pool measuring 150 ft wide and 400 ft long into a scale drawing, using a scale factor of 1/600. Since there are 12 inches in a foot, we first need to convert the pool's dimensions into inches. The width in inches is 150 ft × 12 in/ft = 1800 inches and the length in inches is 400 ft × 12 in/ft = 4800 inches.
Now, we apply the scale factor to find the dimensions of the scale drawing. For the width: 1800 inches × (1/600) = 3 inches. For the length: 4800 inches × (1/600) = 8 inches.
Therefore, the dimensions of the scale drawing of the pool would be 3 inches wide by 8 inches long.
The actual width of the pool is 150 ft. Multiplying it by the scale factor of 1/600 gives us:
150 ft x (1/600) = 0.25 ft.
Converting 0.25 ft to inches:
0.25 ft x 12 in/ft = 3 inches.
Similarly, the actual length of the pool is 400 ft. Multiplying it by the scale factor gives us:
400 ft x (1/600) = 0.67 ft.
Converting 0.67 ft to inches:
0.67 ft x 12 in/ft = 8 inches.
Therefore, the measurements of the scale drawing would be 3 inches wide and 8 inches long.