Final answer:
The perimeter of the original rectangle is 30 when it is cut into two squares each with an area of 25, because the rectangle's length is twice the side of a square and the width is equal to the side of the square.
Step-by-step explanation:
30 The perimeter of the original rectangle can be determined by first understanding the properties of the squares formed. Since each square has an area of 25, the sides of each square must be the square root of 25, which is 5. This means that each square has sides of length 5. Now, recall that the rectangle was cut in half to create two squares side by side, so the width of the rectangle is the same as the side of the square, which is 5, and the length of the rectangle is twice the side of the square, which is 10. The formula for the perimeter (P) of a rectangle is P = 2(length + width), so the perimeter of this rectangle is 2(5 + 10) = 2(15) = 30.
To find the perimeter of the original rectangle, we need to first find the dimensions of the rectangle. Since each square has an area of 25, the side length of each square is the square root of 25, which is 5.Since the original rectangle is cut in half to create two squares, the length of the rectangle is twice the side length of the squares, which is 10. The width of the rectangle is the same as the side length of the squares, which is 5The perimeter of a rectangle is given by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Plugging in the values, we get P = 2(10) + 2(5) = 20 + 10 = 30. Therefore, the perimeter of the original rectangle is 3