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. %0D%0A%0D%0A%0D%0AWhat is the perimeter, in inches, of the pool in the scale drawing?
In the scale drawing, the length of the pool is 8 inches.
To find the scale of the width of the pool in the scale drawing, we need to find the scale factor.
Scale factor = Actual length of the pool / Length of the pool in the scale drawing
Scale factor = 24 feet / 8 inches
Scale factor = 3
So, the width of the pool in the scale drawing is:
Width of the pool in the scale drawing = Scale factor * Actual width of the pool
Width of the pool in the scale drawing = 3 * 36 feet
Width of the pool in the scale drawing = 108 feet
Now, to find the perimeter in the scale drawing, we add up the lengths of all four sides.
Perimeter of the pool in the scale drawing = 2(Length + Width)
Perimeter of the pool in the scale drawing = 2(8 + 108) feet
Perimeter of the pool in the scale drawing = 2(116) feet
Perimeter of the pool in the scale drawing = 232 feet
Therefore, the perimeter of the pool in the scale drawing is 232 inches.