Question

emmis scale drawing shows a swimming pool that measures 12 inches by 6 inches, representing a real pool of 10 feet by 5 feet. she wants to include a 2 - foot by 5 - foot section for a shallow end. what are the dimensions of the shallow end on the scale drawing? o 3 in. by 9 in. o 6 in. by 2 in. o 24 in. by 12 in. o 2.4 in. by 6 in.

Explanation:

Step1: Find the scale factor for length

The real - length of the pool is 10 feet and its length in the scale drawing is 12 inches. Since 1 foot = 12 inches, 10 feet = 120 inches. The scale factor for length is $\frac{12}{120}=\frac{1}{10}$.

Step2: Calculate the length of the shallow - end in the scale drawing

The real - length of the shallow - end is 2 feet. Since 2 feet = 24 inches, the length of the shallow - end in the scale drawing is $24\times\frac{1}{10}=2.4$ inches.

Step3: Calculate the width of the shallow - end in the scale drawing

The real - width of the shallow - end is 5 feet. Since 5 feet = 60 inches, the width of the shallow - end in the scale drawing is $60\times\frac{1}{10}=6$ inches.

Answer:

D. 2.4 in. by 6 in.