Question

The area of a rectangle is 4g^2- h^2. Use Factoring to find the dimensions of the rectangle.

Answer 1

Answer:
`(2g+h)` and
`(2g-h)`

Explanation:

The area of a rectangle is obtained by multiplying its lenght by its width.

You know that the area of this rectangle is
`4g^2- h^2`, then you need to apply the Difference of squares to find the dimensions of this rectangle.

Remember that the Difference of squares is:

`a^2-b^2=(a+b)(a-b)`

Then, applying this, you get:

`4g^2- h^2=(2g+h)(2g-h)`

Therefore, now you know that the dimensions are:

`(2g+h)` and
`(2g-h)`