Abuilder set up a wooden frame in which to pour concrete for a foundation to a house. the length of the wooden frame is 24 feet. the width is 32 feet. the diagonal is 40 feet. which best describes the foundation?

The answer is the last option, which is: The foundation may be a rectangle:

The explanation for this problem is shown below:

1- A rectangle is defined as a parallelogram whose opposite sides are parallel and congruent. Its interior angles are right angles.

2- Keeping the definition above on mind, the diagonal of a rectangle divides it into to right triangles. So, we can verify if the shape of the frame is a rectangle by using the Pythagorean Theorem, which is:

Where is the hypotenuse (the measure of the diagonal) and and are the other sides of the right triangle.

3- Therefore, you have that must be equal to to conclude that it is a rectangle:

4-So, as you can see, the answer is the option mentioned before.