The formula to calculate the Length (l) of a Rectangle given the Diagonal (d) and Breadth (b) is:
\[ l = \sqrt{d^2 - b^2} \]
Where:
The Length of a Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.
The Diagonal of a Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
The Breadth of a Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.
Let's assume the following values:
Using the formula:
\[ l = \sqrt{10^2 - 6^2} \]
Evaluating:
\[ l = \sqrt{100 - 36} = \sqrt{64} = 8 \]
The Length of the Rectangle is 8 meters.
| Diagonal (d) (m) | Breadth (b) (m) | Length (l) (m) |
|---|---|---|
| 10 | 6 | 8.0000 |
| 10 | 7 | 7.1414 |
| 10 | 8 | 6.0000 |
| 10 | 9 | 4.3589 |
| 12 | 6 | 10.3923 |
| 12 | 7 | 9.7468 |
| 12 | 8 | 8.9443 |
| 12 | 9 | 7.9373 |
| 12 | 10 | 6.6332 |
| 14 | 6 | 12.6491 |
| 14 | 7 | 12.1244 |
| 14 | 8 | 11.4891 |
| 14 | 9 | 10.7238 |
| 14 | 10 | 9.7980 |
| 16 | 6 | 14.8324 |
| 16 | 7 | 14.3875 |
| 16 | 8 | 13.8564 |
| 16 | 9 | 13.2288 |
| 16 | 10 | 12.4900 |
| 18 | 6 | 16.9706 |
| 18 | 7 | 16.5831 |
| 18 | 8 | 16.1245 |
| 18 | 9 | 15.5885 |
| 18 | 10 | 14.9666 |