How will the area of a square change if its side becomes twice as long; 3 times as long; 10 times as long; n times as long? You have 2 attempts left to earn the full credit for this problem. The area of square will become times as large if its side becomes twice as long. The area of square will become times as large if its side becomes 3 times as long. The area of square will become times as large if its side becomes 10 times as long. The area of square will become times as large if its side becomes n times as long.

To start off with this question, you first want to use a substitute number to substitute the side length / width of a square.

Since a square has all equal sides we ill use the same number.

My substitute number will be 3.

For the first one, "The area of a square will become  ___ times as large if its side becomes twice as long."

We will use 3 as a substitute (as earlier mentioned) for the side l/w.

Our main equation is going to be 3*3=9.

Since the side became twice as long, we'll need to multiply 3 by 2.

So then our equation will be 6*6=36.

Then we will divide 36 and 9 and get 4.

This will also happen for any other subsitiute number that you use, so the answer for the first one will ultimately be 4.

After this happens, the rest will be easy.

For the second one, "The area of a square will become  ___ times as large if its side becomes 3 times as long."

Like the first one, our substitute will be 3.

out main equation will still be 3*3=9.

Then we multiply 3 by 3 since the side became 3 times as long.

And then our other equation will be 9*9=81.

Then we divide 81 by 9 and we get 9.

The second one will then be 9.

For the third one, "The area of a square will become  ___ times as large if its side becomes 10 times as long."

Here's a shortcut. The answer to these questions will be how many ever times as long it is to the power of two.

So 10^2 is 100.

And our answer for the third one will be 100.

For the final one, "The area of a square will become  ___ times as large if its side becomes n times as long."

We will use out trick from number three and the answer will be...

n^2.

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