2. What are the dimensions of one square? Show your work to receive credit. Answers should be in simplest radical form. (2 points)
The formula for area of a square is A=s^2 and s will represent the length of a side
12=s^2
Square root 12=s
Now simply the square root of 12, so we have
s= square root 4 x square root 3 = 2square root 3
So the dimensions of one square are 2square root 3
3. What is the perimeter of the entire playing surface? *Do not count the inside lines.* Show your work to receive credit. Answers should be in simplest radical form. (2 points)
To find the perimeter of the entire playing surface, we need to add up the lengths of all four sides.
Each side of the square is 2√3, since the length of one side is 2√3.
The perimeter is then 4 times the length of one side, which is 4 * 2√3 = 8√3.
So, the perimeter of the entire playing surface is 8√3.
To find the perimeter of the entire playing surface, we need to add up the lengths of all four sides.
Let's assume the length of one side of the square is s. Since the playing surface is made up of multiple squares, we can multiply the length of one side by the number of squares to find the total length.
From question 2, we know that the length of one side is 2√3. We just need to determine the number of squares.
Let's assume there are n squares on each side of the playing surface. So, the total number of squares will be n x n = n^2.
Now, we can calculate the perimeter by multiplying the length of one side by the total number of squares and simplify the answer.
Perimeter = 4s x n^2 = 4(2√3)(n^2) = 8√3n^2.
Since the number of squares is not given, we cannot provide a specific numerical answer. However, we have shown the step-by-step calculations to find the perimeter of the entire playing surface.
To find the perimeter of the entire playing surface, we need to calculate the sum of the lengths of all the sides of the square. Since the square has four equal sides, we can multiply the length of one side by 4 to get the perimeter.
From the previous question, we found that the length of one side of the square is 2√3. Multiplying this by 4 will give us the perimeter.
P = 4 * (2√3)
P = 8√3
Therefore, the perimeter of the entire playing surface is 8√3.