Final answer:
The lateral area of a cylinder with radius 2 and height 5 is found using the formula LA = 2π rh. The calculation yields an area of 20π, making option b) the correct answer.
Step-by-step explanation:
The student's question is asking to find the lateral area of a cylinder using the given radius (r) of 2 and height (h) of 5 with the formula LA = 2π rh. Plugging in the values, the calculation would be:
LA = 2π * 2 * 5
LA = 4π * 5
LA = 20π
Therefore, the correct answer to the student's question is b) 20π, which represents the lateral area of the cylinder.