Final answer:
To find the perimeter of the original rectangle, we need to find the lengths of the sides of the rectangle. By using the given information that the squares created by cutting the rectangle in half each have an area of 25, we can find the side length of the square and then determine the dimensions of the original rectangle. Finally, we can use the formula for the perimeter of a rectangle to find the perimeter of the original rectangle.
Step-by-step explanation:
To find the perimeter of the original rectangle, we need to find the lengths of the sides of the rectangle. In this problem, we are given that the two squares created by cutting the rectangle in half each have an area of 25. Since the area of a square is equal to the side length squared, we can find the side length of the square by taking the square root of 25, which is 5. Since the original rectangle was cut in half to create two squares, the length of the rectangle would be twice the side length of the square, which is 10. The width of the rectangle would be equal to the side length of the square, which is 5.
The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. Plugging in the values we found, we have P = 2(10) + 2(5) = 20 + 10 = 30. Therefore, the perimeter of the original rectangle is 30 units.