Two sides of a rectangle are x - 7 and 2x + 1. Write an expression that represents the perimeter of this rectangle.

6x-12

Step-by-step explanation:

2 (x-7) + 2 (2x+1)

2x-14+4x+2

6x-14+2

6x-12

Step-by-step explanation:

So first we have to know that a rectangle is a shape with 4 sides in which 2 of each of the 4 sides are equal to each other. So, if the base of the rectangle is for example, 3 meters then the top of the rectangle would be three meters. This is the same with each sides of the rectangle. Basically, the sides parallel to one another are equal.

So, you could represent the perimeter with an expression as such:

P = 2h + 2k

Where h is the length of the rectangle and k is the "height" or one side of the rectangle.

So here we have x-7 and 2x+1

So we can just fill this in as our h and k

P = 2 (x-7) + 2 (2x+1)

P = 2x-14 + 4x + 2

P = 6x-12

So the expression representing the perimeter is 6x-12