Question

The length of a rectangle is 4 less than three times the width. The area of the rectangle is given by the formula A = l × w. Which of the following equations could be used to find the area?

Question 19 options:

A)

A = 4w2 – 3w

B)

A = w2 – 4w

C)

A = 3w2 – 4w

D)

A = 3w2 – w

Answer 1

C) A =
`3w^(2) - 4w`

Explanation:

First, read through what the question is asking.

Now, read it again, but slowly and take in everything it is saying (Don't read into it too slowly, or else you will over-complicate the problem and get frustrated - told from experience :) )

Alright, 4 less than 3 times the width. So, lets rearrange this and give width a variable (w).

So, the length is equal to:

l = 3w - 4

and the width is equal to:

w = w

The area of a rectangle is A = l * w

Let's plug in the values.

A = (3w - 4) * w

Now, simplify:

A =
`3w^(2) - 4w`

A =
`3w^(2) - 4w` is your final answer.

I hope this helps!