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Answer :
Final answer:
The perimeter of the scale drawing of the pool is found by calculating the scale factor, converting the actual width to scale, and using the perimeter formula for a rectangle. The correct perimeter in the scale drawing is 40 inches, which corresponds to answer choice a).
Explanation:
The question asks for the perimeter of a scale drawing of a rectangular pool that measures 24 feet in length and 36 feet in width if the scale drawing has a length of 8 inches. To find the perimeter of the scale drawing, we first need to establish the scale factor between the actual pool and the scale drawing. Knowing that the actual length is 24 feet and the drawing is 8 inches, we can derive that the scale factor is 8 inches (drawing) / 24 feet (actual) = 1 inch / 3 feet.
Since the width of the actual pool is 36 feet, this converts to 36 feet / 3 feet per inch = 12 inches in the scale drawing. Thus, the dimensions of the pool in the scale drawing are 8 inches by 12 inches. To calculate the perimeter of the rectangle, we use the formula P = 2l + 2w, where l is the length and w is the width.
So the perimeter P = 2(8 inches) + 2(12 inches) = 16 inches + 24 inches = 40 inches. Therefore, the correct answer is a) 40 inches.
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