2014 · Q92
For the next three (3) items that follow: A piece of land is in the form of a parallelogram and the perimeter of the land is 86 m. The length of one side exceeds the other by 13 m and one of the diagonals is 41 m. Consider the following statements:
- 1The difference between the diagonals of the parallelogram is more than 20 m.
- 2The difference between the heights of the parallelogram is more than 10 m.
Which of the above statements is/are correct?
Elementary MathematicsQuadrilaterals and Polygons
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
The other diagonal is √(2(15² + 28²) − 41²) ≈ 18.36 m, differing from 41 m by ≈ 22.6 m (> 20); the heights 9 m and 16.8 m differ by 7.8 m (< 10).