The area of one square in a game of four-square is 12 square feet. What is the total area for all four squares? What is the perimeter of all four-squares?

Answer 1

Hi Morgan!

For the total area of the four squares, it would simply be 4 squares*12ft²= 48ft²

Now, to find the perimeter of the four squares, first find the side length of one square: x²=12, x=sqrt(12)=2sqrt(3)

In four square, the four squares are formed into one bigger square with two sides of each square along the outer perimeter (think of it as a square with a plus sign inside touching all four sides; the outer perimeter would be 8*2sqrt(3)=16sqrt(3) ft.

*If the question is meant to ask the total perimeter of each square separately, then it would be 2sqrt(3)*16=32sqrt(3) ft., but the probably meant the former.

I hope this helps!