A white cylindrical silo has diameter $40$ feet and height $100$ feet. A red stripe of horizontal width $5$ feet is painted on it, making three complete revolutions around the silo. What is the area of the stripe in square feet?
Cut the lateral surface along a vertical line and unroll it. Placing the three revolutions side by side (a strip of width $3\cdot40\pi$ and height $100$), the stripe becomes a single slanted parallelogram.
The parallelogram has horizontal width (base) $5$ and height $100$, no matter how many times the stripe winds around.