A rectangle is cut in half to create two squares that each has an area of 25. What is the perimeter of the original rectangle?
Question
A rectangle is cut in half to create two squares that each has an area of 25. What is the perimeter of the original rectangle?
Solution
Step 1: Understand the problem The problem states that a rectangle is cut in half to create two squares. Each of these squares has an area of 25. We need to find the perimeter of the original rectangle.
Step 2: Find the side length of the square The area of a square is found by squaring the length of one side (Area = side^2). So, if the area of the square is 25, we can find the side length by taking the square root of 25, which is 5.
Step 3: Find the dimensions of the rectangle Since the rectangle was cut in half to create two squares, the length of the rectangle is twice the side length of one square. So, the length of the rectangle is 2 * 5 = 10. The width of the rectangle is the same as the side length of the square, which is 5.
Step 4: Find the perimeter of the rectangle The perimeter of a rectangle is found by adding twice the length and twice the width (Perimeter = 2length + 2width). So, the perimeter of the rectangle is 2 * 10 + 2 * 5 = 20 + 10 = 30.
So, the perimeter of the original rectangle is 30.
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