Question

1. the area of a rectangle is equal to its length times its width. the length of a rectangle is 6 feet, and the width is (x + 2) feet. what is the area of the rectangle?

a. 6x + 8 square feet
b. 6x + 8x square feet
c. 6x + 12 square feet
d. 6x + 12x square feet

Explanation:

Step1: Recall area formula

The area formula of a rectangle is $A = l\times w$, where $l$ is length and $w$ is width. Given $l = 6$ and $w=x + 2$.

Step2: Substitute values

$A=6\times(x + 2)$.

Step3: Apply distributive property

Using the distributive property $a(b + c)=ab+ac$, we have $6\times(x + 2)=6\times x+6\times2=6x + 12$.

Answer:

C. $6x + 12$ square feet