A square piece of paper is folded in half to make a rectangle. The perimeter of the rectangle is 24.9 cm. What is the side length of the square piece of paper?
original square is x by x cm
new rectangle is x by x/2
2( x + x/2) = 24.9
2x + x = 24.9
x = 8.3
the square piece is 8.3 by 8.3 cm
Guidelines are ieugdidjdjdkhv
8.3 by 8.3 :)
Well, you know what they say about rectangles made from folded squares, they're just squares in disguise! So if we unfold that rectangular disguise and measure the perimeter, we'll find that it's actually the sum of all four sides. Since the perimeter is given as 24.9 cm, and we know that opposite sides of a square are equal, we can divide 24.9 by 4 to get the length of one side. This means the side length of the square piece of paper is 6.225 cm. Voila!
To solve this problem, we need to understand that the perimeter of a rectangle is equal to the sum of all its sides.
Let's denote the side length of the square piece of paper as "x". When the paper is folded in half to make a rectangle, one side of the rectangle will have a length of "x" and the other side will have a length of "x/2" (since it is folded in half).
Now, we can set up the equation for the perimeter of the rectangle:
Perimeter = 2 * (x + x/2)
Since we know that the perimeter is 24.9 cm, we can plug in this value into the equation:
24.9 = 2 * (x + x/2)
Simplifying the equation:
24.9 = 2x + x/2
We can now solve for "x" by isolating it on one side of the equation. To do this, we can multiply the entire equation by 2 to get rid of the fraction:
49.8 = 4x + x
Combining the terms:
49.8 = 5x
Dividing both sides of the equation by 5:
x = 49.8 / 5
Calculating the value:
x = 9.96 cm
Therefore, the side length of the square piece of paper is approximately 9.96 cm.