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The length of a plot is five times its breadth. A playground measuring 245 square metres occupies half of the total area of the plot. What is the length of the plot?
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- 35√2 metres
- 175√2 metres
- 490 metres
- 5√2 metres
- 35√2 metres
Correct Option: A
Using Rule 9,
Let breadth of plot = x m
∴ length = 5x m. According to question,
| = 245 | |
| 2 |
| ⇒ x² = | = 98 | |
| 5 |
⇒ x = 72m
∴ Length = 5 × 7 √2 = 35√2 m