The rectangle below has an area of 70y⁸ 30y⁶. The width of the rectangle is equal to the greatest common monomial factor of 70y⁸ and 30y⁶. What is the length and width of the rectangle?

The Width of the Rectangle =

Step-by-step explanation:

The area of the rectangle

We are told that the width of the rectangle is equal to the greatest common monomial factor of

Let us determine the greatest common monomial factor of

Express each term as a product to pick out the common factors:

In the two terms, the common terms are 10 and . Therefore their greatest monomial factor =

The Width of the Rectangle =

Recall: Area of a Rectangle =Length X Width

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.