Question

Draw a rectangle that meets both of the following conditions and label the rectangle's length and width?

draw a rectangle that meets bot of the following conditions and label the rectangle's length and width. The perimeter of the rectangle is 36 units and the length of the rectangle is 5 times its width.

Answer 1

The width is 3 and the length is 15.

Explanation:

The first thing we can use is the perimeter. The perimeter of any shape is the same as all the sides added together. Let's look at a picture to help:

`l="length"`
`w="width"`

So the perimeter is the same as saying:
`p=l+w+l+w`
`p=2l+2w`

The problem actually already told us what the `"perimeter"` was!
`p=36`
And it told us that the length of the rectangle is 5 times its width OR:
`l=5w`

Let's plug the values of `l` and `p` into the first equation:
`p=2l+2w`
`(36)=2(5w)+2w`
`36=10w+2w`
`36=12w`
`3=w`

Now that we know that `w=3`, let's plug it into this equation, since it's simpler to solve (there's no need for math to be hard ;D)
`l=5w`
`l=5(3)`
`l=15`

So the `"width" = 3` and the `"length" = 15`