Question

Find the perimeter
side A: x+10y units
side B:7x^2-x+9y units

Answer 1

14x^2 + 2y

Explanation:

We are given two expressions as the side lengths of a rectangle we must find the perimeter.

The formula for perimeter of a rectangle is
`P=l+l+w+w`. Judging by this, we will have add up all the sides of the rectangle. Lets start by adding the two length expressions first.

`(x+10y)+(x+10y)`

Add x terms

`2x`

Add y terms

`2x+20y`.

Now lets add the width terms

`(7x^2 - x - 9y) + (7x^2 - x - 9y)`

Add x squared terms

`14x^2`

Add x terms

`14x^2-2x`

Add y terms

`14x^2-2x-18y`

Now we need to add both of the two expressions together

`(14x^2-2x-18y)+(2x+20y)`

We can bring down our x squared term since we have no like terms

`14x^2`

Add x terms, which cancel.

`14x^2+0`

Add y terms

`14x^2 +2y`

The perimeter of the rectangle is 14x^2 + 2y