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?
To find the perimeter of the pool in the scale drawing, we first need to determine the scale factor.
The actual length of the pool is 24 feet, which is equivalent to 288 inches (24 feet x 12 inches/foot).
Since the scale length is 8 inches, the scale factor can be calculated as:
Scale factor = Actual length / Scale length
Scale factor = 288 inches / 8 inches
Scale factor = 36
Now, we can find the scale width by multiplying the actual width of the pool by the scale factor:
Scale width = Actual width x Scale factor
Scale width = 36 feet x 36
Scale width = 1296 inches
The perimeter of the pool in the scale drawing is:
Perimeter = 2(length + width)
Perimeter = 2(288 inches + 1296 inches)
Perimeter = 2(1584 inches)
Perimeter = 3168 inches
Therefore, the perimeter of the pool in the scale drawing is 3168 inches.