Helen is using glass tiles that each measure one square centimeter to make a decorative square plate. The plate will use 144 square centimeters of glass tiles.
Since each glass tile measures one square centimeter, if Helen wants to make a plate that is 144 square centimeters, she will need 144 glass tiles.
To make a square plate, Helen will need to arrange the 144 glass tiles in the shape of a square. To find the length of each side of the square, she can take the square root of 144:
√144 = 12
Therefore, Helen will need to arrange the 144 glass tiles in a 12x12 square to make the decorative plate.
To find the dimensions of the square plate Helen is making, we need to determine the side length of the square.
Since each glass tile measures 1 square centimeter, and Helen is using 144 square centimeters of tiles in total, the area of the square plate is 144 square centimeters.
Let's assume the side length of the square plate is "x" centimeters.
The area of a square is given by the formula: Area = side length^2.
So we can write the equation as:
x^2 = 144
To find the value of "x," we can take the square root of both sides of the equation:
√(x^2) = √144
Simplifying further:
x = 12
Therefore, the square plate Helen is making has a side length of 12 centimeters.
To find the side length of the square plate, we need to determine the number of tiles that can fit on each side. Since each tile measures one square centimeter, the side length of the square plate would also represent the number of tiles on each side.
Given that the plate will use 144 square centimeters of glass tiles, we need to find the square root of 144 to determine the side length.
To calculate the square root of 144, we can use a calculator or perform the calculation manually using the prime factorization method.
First, we find the prime factors of 144:
144 = 2^4 * 3^2
Next, we group the factors into pairs:
144 = (2 * 2) * (2 * 2) * (3 * 3)
We take one factor from each pair and multiply them together:
√144 = 2 * 2 * 3 = 12
Therefore, the side length of the square plate will be 12 tiles, or 12 centimeters.