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If the length and the perimeter of a rectangle are in the ratio 5 : 16, then its length and breadth will be in the ratio
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- 5 : 11
- 5 : 8
- 5 : 4
- 5 : 3
- 5 : 11
Correct Option: D
Using Rule 9,
Let the length of the rectangle be x units and breadth be y units.
∴ Perimeter of rectangle = 2 (x + y) cm
According to the question,
| = | |||
| 2x + 2y | 16 |
| ⇒ | = | ||
| x + y | 8 |
| ⇒ | + | = | ⇒ | = | - 1 | |||||
| x | x | 5 | x | 5 |
| ⇒ | = | x : y = 5 : 3 | ||
| x | 5 |
