A scale drawing of a triangular stage is shown. What is the perimeter, in feet, of the actual stage? The scale is 1 inch : 2.25 feet, and the sides of the triangle are 6 inches, 10 inches, and 6 inches.

Question

28.5 feet
49.5 feet
22 feet
42 feet

Answer 1

To find the perimeter of the actual stage, we first need to find the actual lengths of the sides of the triangle using the scale.

1 inch : 2.25 feet
6 inches = 6 * 2.25 = 13.5 feet
10 inches = 10 * 2.25 = 22.5 feet
6 inches = 6 * 2.25 = 13.5 feet

Now, we can calculate the perimeter:
Perimeter = 13.5 + 22.5 + 13.5 = 49.5 feet

Therefore, the perimeter of the actual stage is 49.5 feet.