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The perimeter of a triangle and an equilateral triangle are same. Also, one of the sides of the rectangle is equal to the side of the triangle. The ratio of the area of the rectangle and the triangleis
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- √3 : 1
- 1 : √3
- 2 : √3
- 4 : √3
- √3 : 1
Correct Option: C
Using Rule 1 and 9,
Let Length of rectangle = x units
and breadth = y units
∴ Side of triangle = y units
⇒ 2x + 2y = 3y
⇒ 2x = y ...(i)
| ∴ | |
| Area of triangle |
| = | |||
| y² | |||
| 4 | |||
| = | |
| √3y |
| = | = | or 2 : √3 | ||
| √3.2x | √3 |
