A square is transformed into a recatangle of perimeter 30 cm, by increasing one side by 3 cm and reducing the adjacent side by 2 cm. Find the length of the square's side.
To solve this problem, let's assume the length of one side of the square is "x" cm.
According to the problem, the perimeter of the rectangle formed by transforming the square is 30 cm. Since a rectangle has two pairs of equal adjacent sides, we can set up the following equation using the given information:
2 * (length + width) = perimeter
2 * (x + (x + 3)) = 30
Simplify the equation:
2 * (2x + 3) = 30
4x + 6 = 30
Subtract 6 from both sides:
4x = 24
Divide both sides by 4:
x = 6
Therefore, the length of one side of the square is 6 cm.
the sides of a square are equal, so
2(x+3 + x-2) = 30