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

Answer:

C and D

Step-by-step 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.