a square is cut from a rectangle paper,if the perimeter of the rectangle is 120 cm than what is the perimeter of other paper part
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Let’s say the square edges are 2x long.
If you divide the square in half down the middle, the rectangle left over has two edges that are 2x long still, but the other edges are only half that (aka, 2x/2, which is x).
So, the equation for the perimeter of the rectangle is: 2x + 2x + x + x (or, 6x), and we know the perimeter of the rectangle is 24 cm total.
Therefore: 6x = 24 cm. Solve for x:
6x/6 = 24/6
x = 4
So, the length of the square’s side (2x), is 2x4 = 8cm.
The area of that square is 8cm x 8cm = 64 cm^2
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