We draw a square inside a rectangle. The ratio of the rectangle's width to the square's side is 2:12:12:1, and the ratio of the rectangle's length to its width is 4:14:14:1. What percentage of the rectangle's area is inside the square?


Answer:

6.25%6.25%6.25%

Step by Step Explanation:
  1. Given, the ratio of the rectangle's width to the square's side is 2:12:12:1.
    Let the side of the square be a units.
    Therefore, the width of the rectangle =2a.
  2. The ratio of the rectangle's length to its width is 4:1.
    So, the length of the rectangle =8a
  3. Area of the rectangle inside the square = Area of square
    Area of square =a2
    Area of the rectangle =2a×8a=16a2
  4. So, the percentage of the rectangle's area inside the square =Area of the rectangle inside the square Area of the rectangle ×100
    =a216a2×100%
    =6.25%

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