Question
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?
Responses
A 7272
B 9696
C 4040
D 864
Responses
A 7272
B 9696
C 4040
D 864
Answers
GPT 3.5
B) 9696
To find the area in the scale drawing, first find the ratio of length in the drawing to the actual length:
24 feet (actual length) / 8 inches (scale drawing length) = 3
Now find the ratio of width in the drawing to the actual width:
36 feet (actual width) / x = 8 inches (scale drawing width)
x = 12 inches
Now calculate the area in the scale drawing:
8 inches (scale drawing length) * 12 inches (scale drawing width) = 96 square inches
Therefore, the area of the pool in the scale drawing is 96 square inches.
To find the area in the scale drawing, first find the ratio of length in the drawing to the actual length:
24 feet (actual length) / 8 inches (scale drawing length) = 3
Now find the ratio of width in the drawing to the actual width:
36 feet (actual width) / x = 8 inches (scale drawing width)
x = 12 inches
Now calculate the area in the scale drawing:
8 inches (scale drawing length) * 12 inches (scale drawing width) = 96 square inches
Therefore, the area of the pool in the scale drawing is 96 square inches.