The rectangle below has an area of 14x^4 + 6x^2 square meters. the width of the rectangle (in meters) is equal to the greatest common monomial factor of 14x^4 and 6x^2. what is the length and width of the rectangle?

Width:

Lenght:

Step-by-step explanation:

1. The prime factorization of the monomial is:

2. The product of the common factors is:

3. The greatest common monomial factor is:

4.  The formula for calculate the area of a rectangle is:

Where L is the length and W is the width

5. Therefore, if the greatest common monomial factor monomial of the area of is   and the area is the product of the lenght and the width, you have that the lenght is:

Length:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.

26- 6 = 20. erica has 20 bottles left