161k views
4 votes
The area of a rectangle is represented by the polynomial 3x^2-7x-6. If the length of the rectangle is the factor (3x+2), then what is the factor of the width. (A=length x width)

2 Answers

1 vote
The factor of the width is (x-3)
User Robert Engel
by
4.9k points
1 vote

Answer: Width = (x - 3)

Explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

Width = Area/length

The area of a rectangle is represented by the polynomial

3x² - 7x - 6. If the length of the rectangle is the factor (3x+2), then

Width = (3x² - 7x - 6)/3x+ 2

We would apply the long division method. The steps are shown in the attached photo. Therefore,

Width = (x - 3)

The area of a rectangle is represented by the polynomial 3x^2-7x-6. If the length-example-1
User Daniel Que
by
4.6k points