Question

A rectangle has an area of 6x^(2) + 7x - 3 square units. Which of the following could represent the perimeter of the rectangle in terms of x?

A. 2x + 3
B. 5x - 2
C. 10x + 4
D. 20x + 8

Answer 1

C

Explanation:

Area is W×L. The area of the rectangle is 6x^(2) + 7x - 3.

So we write that as 6x^(2) + 7x - 3 = W×L

We can factor 6x^(2) + 7x - 3 to see the width and length.

Then, you get (2x + 3) (3x - 1) = W × L

Now you have to values for width and length

The formula for perimeter is 2W + 2L, you can choose which is width and which is length

Next, substitute the values in the formula: 2(2x + 3) + 2(3x - 1) and solve it. Done! :)