Question

What is the area of a rectangle that has a base of `5` `m` and a height of `(4a +b)` `m`?

Answer 1

If m is a variable, the area is `4am^2+bm^2` units squared, but if m means meters, then the area is `20a+5b` meters squared.

Explanation:

We should begin by finding the simplest version of the height. To do this, we distribute the m, to find:

`4am+bm` is the height.

Next, we find the area by multiplying the base by the height. This is how it is set up:

`(4am+bm)*m`

We distribute m to find:

`4am^2+bm^2` units squared, and this is our final answer.

^that explanation was done with m being a variable, but i realize now that you might have meant meters. If so, this is the explanation:

The area of a rectangle is base*height. So, we multiply 5 meters by (4a+b) meters.

`(4a+b)*5`
`20a+5b` meters squared would be your final answer in this case.