A rectangular pool is 24 feet in length and 36 feet in width. A scale drawing of the pool has a length of 8 inches. What is the perimeter, in inches, of the pool in the scale drawing? Responses A 40 inches40 inches B 20 inches20 inches C 120 inches120 inches D 68 inches
To find the perimeter of the pool in the scale drawing, we first need to calculate the actual perimeter of the pool.
Actual perimeter = 2(length + width)
Actual perimeter = 2(24 + 36)
Actual perimeter = 2(60)
Actual perimeter = 120 feet
Next, we need to find the scale factor used in the drawing. Since the actual length is 24 feet and the length in the drawing is 8 inches, the scale factor is 24 feet = 8 inches.
Now, we can find the perimeter in the scale drawing by dividing the actual perimeter by the scale factor:
Perimeter in scale drawing = Actual perimeter / Scale factor
Perimeter in scale drawing = 120 inches / 3
Perimeter in scale drawing = 40 inches
Therefore, the perimeter of the pool in the scale drawing is 40 inches, which is option A.