2014 · Q90
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. What is the area of the parallelogram?
Elementary MathematicsQuadrilaterals and Polygons
- A63 m²
- B96 m²
- C126 m²
- D252 m²
Explanation
Sides are 15 m and 28 m; the diagonal 41 m splits it into triangles of sides 15, 28, 41 with area 126 m² each (Heron), so the parallelogram area is 252 m².