Question

Which algebraic expression represents the perimeter in units of a rectangle whose length is 3 units more than its width, x?

A. x (x+3)

B. 4x+3

C. 2x+3

D. 8x

Answer 1

The rectangle's length is x + 3 and the width is x. The formula for a rectangle's perimeter is 2x (width) + 2(x+3) (length), which simplifies to 4x + 6. None of the provided options in the question are correct.

Step-by-step explanation:

To find the perimeter of a rectangle, you add the lengths of all four sides together. In this case, the length of the rectangle is x + 3 (given it is 3 units more than its width, x) and the width is x.

Therefore, the formula for the perimeter of a rectangle of this nature is two times the width (2x) plus two times the length (2[x + 3]). Simplifying this produces:

2x + 2(x + 3)

2x + 2x + 6

So, 4x + 6, is the expression that represents the perimeter of this rectangle. Therefore, none of the options provided in the question are correct.

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