The city is putting a fountain at the entrance of the park. A scale drawing of the fountain is shown below.
Scale
1 in. : 4 ft
What is the area of the fountain in square feet?
Responses
A 4𝜋4 𝜋
B 16𝜋16 𝜋
C 64𝜋64 𝜋
D 128𝜋
Since the scale of the drawing is 1 in. : 4 ft, we need to convert the measurements to get the actual size of the fountain.
The width in the drawing is 1 in., so the actual width is 1 in. x 4 ft/in. = 4 ft.
The length in the drawing is 4 in., so the actual length is 4 in. x 4 ft/in. = 16 ft.
The area of a rectangle is calculated by multiplying the length and width, so the area of the fountain is 4 ft x 16 ft = 64 square feet.
Therefore, the correct answer is:
C) 64𝜋