The area of one square in a game of four-square is 12 square feet.
12x4=48square feet
1. What is the total area for all four squares? Show your work to receive credit. (1 point)
2. What are the dimensions of one square? Show your work to receive credit. Answers should be in simplest radical form. (2 points)
Square root of 12 =3.46
1. The total area for all four squares can be found by multiplying the area of one square by 4.
Area of one square = 12 square feet
Total area for all four squares = 12 square feet x 4 = 48 square feet.
2. To find the dimensions of one square, we need to find the length of its sides. Since the area of the square is given as 12 square feet, we can use the formula for the area of a square, which is side length squared.
Area = side length^2
12 square feet = side length^2
Taking the square root of both sides, we find:
√12 square feet = side length
The square root of 12 can be simplified as √12 = √(4 x 3) = √4 x √3 = 2√3
Therefore, the dimensions of one square are 2√3 feet by 2√3 feet.