A scale drawing of a triangular stage is shown.

 

What is the perimeter, in feet, of the actual stage?

(2 points)the top right and top left of the triangle show 6 in and the bottom show 10 in
Responses

 28.5 feet
 28.5 feet

49.5 feet
49.5 feet

22 feet
22 feet

42 feet
42 feet

1 answer

To find the perimeter of the actual stage, we need to convert the measurements given in the scale drawing from inches to feet.

Given:
- Top right of the triangle: 6 in
- Top left of the triangle: 6 in
- Bottom of the triangle: 10 in

Converting from inches to feet:
- 6 in is equal to 0.5 ft
- 10 in is equal to 0.8333 ft

Now, we can calculate the perimeter of the actual stage by adding up the lengths of the sides:
Perimeter = 0.5 + 0.5 + 0.8333 = 1.8333 ft

Therefore, the perimeter of the actual stage is 1.8333 ft, which is closest to 22 feet as the answer choice. So, the correct answer is:
- 22 feet
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