Question

Ava is building a rectangular sandbox a model of the sandbox dimensions are shown which expression represents the perimeter of Ava’s sandbox

Answer 1

Option E:
`12x+28`

Explanation:

You need to remember that the perimeter of a rectangle can be calculated with the following formula:

`P=2l+2w`

Where "l" is the lenght of the rectangle and "w" is the width of the rectangle.

In this case, you can identify from the figure that:

`l=3x+14\\w=3x`

So, knonwing this, you can write the following expression to represent the perimeter of the rectangle:

`2(3x+14)+2(3x)`

The final step is to simplify the expression. Then you get:

`=6x+28+6x=12x+28`

This matches with the Option E.