Answer: <u>96</u> sq ft.
Step-by-step explanation:
First, we will find the area of the rectangular sides. Since the triangle is an equilateral triangle, all the rectangles will be the same size.
A = L * W
A = (10 ft) * (3 ft)
A = 30 ft²
30 ft² * 3 = 90 ft²
Next, we will find the area of the two triangles.
A =
A =
3 ft + 3 ft = 6 ft²
Lastly, we will add them together for the total surface area.
90 ft² + 6 ft² = 96 ft²
Ideal timeline of the dance routine = 4 minutes = 4 × 60 seconds = 240 seconds
Variation allowed in the dance routine timeline = +- 5 seconds
Let the timeline of the dance routine be T
⇒ 240 seconds - 5 seconds < T < 240 seconds + 5 seconds
⇒ 235 seconds < T < 245 seconds
⇒ minutes < T <
minutes
⇒ 3.92 minutes < T < 4.08 minutes
So the least possible time of the dance routine can be 3.92 minutes (or 235 seconds) and the greatest possible time of the dance routine can be 4.08 minutes (or 245 seconds)