## Algebra 1 Tutorial

#### Intro

Jonathan just adopted 4 new guinea pigs and he wants to build them a C&C cage outside.He wants to give them room to run so he bought 36 feet of fencing.

#### Sample Problem

What dimensions can he create for optimal use for these energetic guinea pigs?

#### Solution

The first thing to do is highlight the most important pieces of information. Jonathan has 36 feet worth of fencing and he is building a cage meaning, there are two dimensions to use, length and width.

To do solve this, you find the multiples of 36:

```1 x 36|2 x 18|3 x 12|4 x 9|6 x 6
```

You then turn that information into a table.

```L|  1 |  2 |  3 | 4 | 6 |
W| 36 | 18 | 12 | 9 | 6 |
```

Remember multiplication can go either way. So your finished table will look like this:

```L|  1 |  2 |  3 | 4 | 6 || 6 | 9 | 12 | 18 | 36 |
W| 36 | 18 | 12 | 9 | 6 || 6 | 4 |  3 |  2 |  1 |
```

There are 10 total dimensions that are available for use but now you have to decide which are better for the animal to run in.
Imagine a 1 ft by 36 ft cage- pretty small right? They’d just be running back and forth. For the Guinea pigs its best to use the middle dimensions, 6 ft by 6 ft, so they have room to run around and not have to worry about running into fences.