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
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