Question

The area of a rectangular raised garden bed for growing beets is given by the expression(3b)(3b-3). The length, l, of the mat is greater than its width, w.

Based on the given information and the formula for area of a rectangle A=∫w, , which of the following statements must be true?



A
The coefficient of b is 3, meaning the length of the rectangle is three times its width.



B
(3b-3) is a factor in the expression and represents the length of the rectangle.


C
(3b-3) is a term in the expression and represents the width of the rectangle.


D
The term -3 means that the width of the rectangle is 3 units less than its length.

Answer 1

C and D

Explanation:

The area of a rectangular raised garden bed for growing beets is given by the expression
`(3b)(3b-3).`

The area of the rectangle is

`A=\text{Width}\cdot \text{Length}`

Thus,

`\text{Width}=3b\\ \\\text{Length}=3b-3`

or

`\text{Width}=3b-3\\ \\\text{Length}=3b`

The length of the mat is greater than its width. Since

`3b>3b-3`

then

`\text{Width}=3b-3\\ \\\text{Length}=3b`

Options A and B are false, options C and D are true.