Question

If a rectangle has length x and width x+3, what is the perimeter of the rectangle in terms of x?

Answer 1

`4x+6` units

Explanation:

Skills needed to solve: Order of Operations, Distributive Property, Perimeter Formula, Like Terms

1) To solve this problem, you need to understand the perimeter formula, and that is:

-->
`P = 2(L+W)`

P = Perimeter

L = Length

W = Width

2) Based on that, we are given that:

`L = x` (since the length is x)

`W = x+3` (since the width is x+3)

3) After that, we substitute in the values:

`P = 2(L+W)`

`P = 2(x+(x+3))`

`x + (x+3) = x+x+3 = 2x+3` (with like terms and addition)

so:
`P=2(2x+3)`

Use distributive property, which is
`a(b+c) = ab+ac`

get:
`2(2x+3) = 2(2x) + 2(3)`

`2(2x) = 4x`

`2(3) = 6`

So:
`P = 4x+6`

Hope this helps and have a nice day!! :) :]