The combined area of two squares is 80 square centimeters. Each side of one square is twice as long as a side of the other square. What is the length of each side of the larger square?

The length of each side of the larger square is 8 centimeter.

Step-by-step explanation:

Given:

The combined area of two squares is 80 square centimeters. Each side of one square is twice as long as a side of the other square.

Now, to find the length of each side of the larger square.

Let be the length of the smaller square.

So, the length of the larger square =

Now, we find the areas of the square by putting formula:

The area of smaller square = length²  

The area of larger square = (length)²  

As, given:

The combined area of two squares is 80 square centimeters.

According to question:

So, dividing both sides by 5 we get:

Using square root on both sides we get:

And, to get the  length of each side of the larger square we substitute the value of :

The length of larger square = 8 centimeter

Therefore, the length of each side of the larger square is 8 centimeter.