What would the diagonal measurement be for a rectangular building that is 60 feet wide by 80 feet long?

To determine the diagonal measurement of a rectangular building, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the diagonal, in this case) is equal to the sum of the squares of the lengths of the other two sides.

For a rectangular building that measures 60 feet wide and 80 feet long, these dimensions represent the two sides of a right triangle, where the diagonal corresponds to the hypotenuse. Thus, the calculation involves the following steps:

1. Square the width: (60^2 = 3600)

2. Square the length: (80^2 = 6400)

3. Add these two results: (3600 + 6400 = 10000)

4. Take the square root of the sum to find the diagonal: (\sqrt{10000} = 100) feet.

This calculation confirms that the diagonal measurement of the rectangular building is indeed 100 feet, which aligns with the choice indicating that value. Understanding this application of the Pythagorean theorem is fundamental for various construction-related scenarios, such as determining dimensions and layouts for structures.