Question: What is the length of the diagonal of a rectangle with vertices at (2, 1), (2, 4), (5, 4), and (5, 1)?

Options:

1. 3
2. 4
3. 5
4. 6

Correct Answer: 5

Solution:

The length of the diagonal can be calculated using the distance formula between (2, 1) and (5, 4). Diagonal = √((5-2)² + (4-1)²) = √(3² + 3²) = √18 = 3√2.