A penny is dropped onto a rectangular surface. If it is equally likely for the penny to land anywhere inside the large rectangle, what is the probability that all or part of the penny will come to rest inside the shaded area?
Round your answer to the nearest whole percent.
A. 23%
B. 26%
C. 30%
D. 32%
To calculate the probability that all or part of the penny will come to rest inside the shaded area, we need to calculate the ratio between the area of the shaded area and the total area of the rectangular surface.
To find the area of the shaded area, we need to determine the dimensions of the shaded area and the total area of the rectangular surface.
Here's how you can do it:
1. Determine the dimensions of the shaded area:
- The shaded area appears to be a rectangle on top of a right-angled triangle.
- Measure the length and width of the rectangle in the shaded area.
- Measure the base and height of the right-angled triangle in the shaded area.
2. Calculate the area of the shaded area:
- Multiply the length and width of the rectangle to find its area.
- Divide the product by 2 to find the area of the right-angled triangle.
- Add the areas of the rectangle and the triangle to find the total area of the shaded area.
3. Determine the dimensions of the rectangular surface:
- Measure the length and width of the large rectangle.
4. Calculate the total area of the rectangular surface:
- Multiply the length and width of the large rectangle to find its area.
5. Calculate the probability:
- Divide the area of the shaded area by the total area of the rectangular surface.
- Multiply the result by 100 to convert it to a percentage.
- Round the percentage to the nearest whole percent.
Once you have the area ratio, you can compare it to the answer choices provided and select the closest one.
I am sorry, but without the specific dimensions and measurements of the shaded area and the rectangular surface, I cannot provide an exact solution.