When a certain rectangle is folded in half, it forms two squares. If the perimeter of one of these square is 28, what is the perimeter of the original rectangle?
Each side of the square is 28/4 = 7
P = (2*7) + (2*14)
To find the perimeter of the original rectangle, we need to determine the dimensions of the rectangle. Let's assume the rectangle has a length of L and a width of W.
When the rectangle is folded in half, it forms two squares. Thus, the length of one square is L/2 and the width is W.
Given that the perimeter of one square is 28, we can write the following equation:
Perimeter of one square = 4 * (side length of the square)
28 = 4 * (L/2)
To simplify the equation, we can divide both sides by 4:
7 = L/2
Now, we can solve for L:
L = 7 * 2
L = 14
Therefore, the length of the original rectangle is 14.
Since folding the rectangle in half forms two squares, the width of the rectangle is W = L/2 = 14/2 = 7.
Now that we have the dimensions of the original rectangle (L = 14 and W = 7), we can calculate its perimeter:
Perimeter of the original rectangle = 2 * (L + W)
Perimeter of the original rectangle = 2 * (14 + 7)
Perimeter of the original rectangle = 2 * 21
Perimeter of the original rectangle = 42
Therefore, the perimeter of the original rectangle is 42.
To find the perimeter of the original rectangle, we need to find the length and width of the rectangle first. Since the rectangle is folded in half to form two squares, each square will have the same perimeter.
Let's assume the side length of one of the squares is 's'. This means each side of the square would be 's'. And since the perimeter of a square is the sum of all its sides, the perimeter of one square is 4s.
Given that the perimeter of one square is 28, we can set up the equation:
4s = 28
To find 's', divide both sides of the equation by 4:
s = 28 / 4
s = 7
Now we know that the side length of the square is 7. Since the rectangle is formed by folding this square in half, the length and width of the rectangle will be double the side length of the square.
Therefore, the length and width of the rectangle are:
Length = 2 * 7 = 14 units
Width = 2 * 7 = 14 units
Finally, we can calculate the perimeter of the original rectangle by summing the lengths of all its sides:
Perimeter = 2 * Length + 2 * Width
Perimeter = 2 * 14 + 2 * 14
Perimeter = 28 + 28
Perimeter = 56
So, the perimeter of the original rectangle is 56 units.