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.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.