A rectangle has a length 2 ft less than three times its width. What is the area of the rectangle when its width is 2 ft?

(1 point)
Responses

8 square ft

6 square ft

12 square ft

10 square ft

1 answer

Let's solve this step by step.

Let's say the width of the rectangle is x ft.
According to the problem, the length is 2 ft less than three times the width, which can be represented as 3x - 2 ft.

The formula for the area of a rectangle is length * width.
So, in this case, the area would be (3x - 2) * x.

We are given that the width is 2 ft, which means x = 2.
Plugging this value into the equation, we get:
Area = (3 * 2 - 2) * 2
= (6 - 2) * 2
= 4 * 2
= 8 square ft.

Therefore, the correct answer is 8 square ft.