## A Square With An Area Of 4 In² Is Dilated By A Factor Of 7. What Is The Area Of The Dilated Square?

Question

1. A square with an area of 4 in is a common figure found in many scenarios, from the design of our homes to the construction of our bridges. But what happens when that same square is dilated by a factor of 7? The answer is simple: its area increases.

The formula for calculating the area of a dilated square is easy to remember: simply multiply the original area by the dilation factor. In this case, that means multiplying 4 in by 7, which equals 28 in². That’s how much larger the new, dilated square will be compared to its initial size before it was altered. This method can be used to calculate how much any two-dimensional shape may change after being stretched or shrunk using any given dilation factor.

2. Are you wondering what the area of a dilated square is? If you’re looking for the answer to that question, you’ve come to the right place!

Let’s start by breaking down the problem: we have a square with an area of 4 in² that is dilated by a factor of 7. Our goal is to find the area of the dilated square.

The formula for finding the area of a square is A = s², where A is the area and s is the side length. In our example, we know the area of the original square (4 in²) and the factor of dilation (7).

To find the area of the dilated square, we can use the formula A = (s * factor)². Plugging in the values from our example, we get A = (4 * 7)² = 196 in².

So there you have it – the area of the dilated square is 196 in².