Quadratic Equations

Algebra 1 Tutorial

Quadratic Equations

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.



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