a rectangle is formed by placing two identical squares side by side. the perimeter of the rectangle is 24 cm. what is the total area of the squares?
To determine the area of the squares, we first need to find the length of one side of each square.
Let's assume the length of one side of the square is "x" cm.
Since there are two identical squares placed side by side to form the rectangle, the width of the rectangle would be 2x cm.
The perimeter of a rectangle is the sum of all its sides. In this case, the perimeter is given as 24 cm.
The perimeter of a rectangle is calculated by the formula: 2(Length + Width).
Substituting the given values, we can write the equation as:
2(2x + x) = 24 cm
Simplifying the equation, we get:
4x + 2x = 24 cm
Combining like terms:
6x = 24 cm
Dividing both sides by 6:
x = 4 cm
So, the length of one side of each square is 4 cm.
To find the area of a square, we square the length of one side.
Therefore, the area of one square is:
(4 cm) * (4 cm) = 16 cm²
Since there are two identical squares, the total area of both squares is:
2 * 16 cm² = 32 cm²
Hence, the total area of the squares is 32 cm².
To find the total area of the squares, we need to determine the length of each side of a square.
Let's assume that the side length of each square is 'x' cm.
Since there are two squares placed side by side to form a rectangle, the length of the rectangle will be 2x cm.
The width of the rectangle is equal to the side length of each square, so it will also be 'x' cm.
The perimeter of a rectangle is given by the formula: P = 2(length + width)
Given that the perimeter of the rectangle is 24 cm, we can substitute the values into the formula: 24 = 2(2x + x)
Simplifying the equation, we get: 24 = 2(3x)
Divide both sides of the equation by 2: 12 = 3x
Now, divide both sides of the equation by 3: 4 = x
So, the side length of each square is 4 cm.
To find the area of one square, we use the formula: A = side length * side length
Thus, the area of one square is: A = 4 cm * 4 cm = 16 cm^2
Since there are two identical squares, the total area of the squares is: 16 cm^2 + 16 cm^2 = 32 cm^2.
If each square has side s, then
2(s+2s) = 24
s = 4
so each square has area 4*4 = 16