Question

5x+2
2x
Perimeter:
PLEASE HELP

Answer 1

Answer: Perimeter = 14x + 4

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

If you are still confused, you may refer to the attachment below for a graphical explanation.

Solve:

Given information

l = 5x + 2

w = 2x

Given expression

Perimeter = 2 (l + w)

Substitute values into the expression

Perimeter = 2 (5x + 2 + 2x)

Combine like terms

Perimeter = 2 (7x + 2)

Expand parentheses and apply the distributive property

Perimeter = 2 · 7x + 2 · 2

Perimeter = 14x + 4

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

14x + 4

Explanation:

The perimeter of a rectangle is the sum of all its sides. The rectangle have two sides with length 5x + 2, so:

(5x + 2)×2 = 10x + 4

And it also have two sides with length 2x, so:

(2x)×2 = 4x

And now just add it:

10x + 4 + 4x = 14x + 4