Question

The length of a rectangle is (2x+1). The width of the rectangle is (x2+2x-1) what equation represents the perimeter of the rectangle?
A) x to the seconds power+x+3
B)2x to the second power+2x+6
C)2x to the second power+8
D) x to the third power+2x to the second power+x+3

Answer 1

Answer:

The formula to find the perimeter of a rectangle is 2*length + 2*width

2(2x+1)+2(x^2+2x-1)

First we want to distribute the 2 through both the length and the width

(4x+2) + (2x^2+4x-2)

After we distributed the 2 through like we did up above, we now want to add them together to find the perimeter.

We want to combine all like terms

2x^2, doesn't combine with anything so we leave it the same

4x+4x=8x, add the coefficients and leave the variable

2-2=0, we just leave that out, don't do anything with it

What we have left is:

2x^2+8x,

Which would be C), if the answer is 2x to the second power+8x,

Hope this helps ;)