The area of square 1 is 4. The perimeter of square 2 is tree times the perimeter of square 1. What is the area of square 2?
The perimeter of square 1 must be 8
3 * 8 = 24
24 / 4 = 6
6 * 6 = ? square units
If the perimeter is 3 times, the area is 9 times
As Ms Sue said square 1 has a perimeter of 8 if its area is 4
4*9 =
To find the area of square 2, we first need to determine the perimeter of square 1.
Let's start with the given information:
Area of square 1 = 4
Since the area of a square is calculated by multiplying the length of its sides, let's find the side length of square 1. Let's represent the side length of square 1 as "s".
Area of square 1 = side length × side length
4 = s × s
To find the side length, we can take the square root of both sides of the equation.
√4 = √(s × s)
2 = s
So, the side length of square 1 is 2.
Now, let's move on to the second part of the question:
Perimeter of square 2 = 3 × perimeter of square 1
Since the perimeter of a square is calculated by multiplying the side length by 4, let's substitute the values we found:
Perimeter of square 2 = 3 × (2 × 4)
Perimeter of square 2 = 3 × 8
Perimeter of square 2 = 24
So, the perimeter of square 2 is 24 units.
To find the area of square 2, we can use the same formula as before:
Area of square 2 = side length × side length
Since the side length of square 2 is equal to the perimeter divided by 4 (each side of a square), we can calculate it as:
Side length of square 2 = Perimeter of square 2 / 4
Side length of square 2 = 24 / 4
Side length of square 2 = 6
Now, we can find the area of square 2:
Area of square 2 = 6 × 6
Area of square 2 = 36
Therefore, the area of square 2 is 36 square units.