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%
- 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. - The ratio of the rectangle's length to its width is 4:1.
So, the length of the rectangle =8a - Area of the rectangle inside the square = Area of square
Area of square =a2
Area of the rectangle =2a×8a=16a2 - 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%