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Answer :
Final answer:
The perimeter of the pool in the scale drawing, given the scale factor and dimensions of the actual pool, is calculated to be 40 inches. Therefore, the correct option is A
Explanation:
The question involves a scale drawing of a rectangular swimming pool, and we are asked to find the perimeter of the pool in the scale drawing. Given the length of the swimming pool in the scale drawing is 8 inches, and knowing that the actual swimming pool is 24 feet in length and 36 feet in width, we can calculate the scale factor to find the width in the drawing and then the perimeter.
First, we find the scale factor by comparing the drawing length to the actual length:
Scale factor = Drawing length ÷ Actual length = 8 inches ÷ 24 feet
Since there are 12 inches in a foot, we need to convert 24 feet to inches:
24 feet = 24 × 12 inches = 288 inches
Now, we find the scale factor:
Scale factor = 8 inches ÷ 288 inches = 1 ÷ 36
Next, we use the scale factor to find the width in the scale drawing:
Drawing width = Actual width × Scale factor
Drawing width = 36 feet × (1 ÷ 36)
Again, converting feet to inches we get:
Drawing width = 36 feet × 12 inches/foot = 432 inches
Drawing width = 432 inches × (1 ÷ 36) = 12 inches
Finally, we find the perimeter of the pool in the scale drawing:
Perimeter = 2 × (Length + Width)
Perimeter = 2 × (8 inches + 12 inches) = 2 × 20 inches = 40 inches
Thus, the correct answer is A) 40 inches.
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