The 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 area, in square inches, of the pool in the scale drawing?
To find the area of the pool in the scale drawing, we first need to find the scale factor.
The actual length of the pool is 24 feet, while the length of the scale drawing is 8 inches. To find the scale factor, we divide the actual length by the scale length:
Scale factor = Actual length / Scale length
Scale factor = 24 feet / 8 inches = 3 feet per inch
Now that we have the scale factor, we can find the dimensions of the pool in the scale drawing:
Length in the scale drawing = 24 feet / 3 feet per inch = 8 inches
Width in the scale drawing = 36 feet / 3 feet per inch = 12 inches
Now we can find the area of the pool in the scale drawing by multiplying the length and width:
Area = Length x Width
Area = 8 inches x 12 inches = 96 square inches
Therefore, the area of the rectangular pool in the scale drawing is 96 square inches.