What is the area (in hectares) of a rhombus-shaped field whose side is 146 m and one of its diagonals is 192 m?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2.112.
Let the other diagonal = d
(192/2)2 + (d/2)2 = 1462
⇒ 9216 + (d/2)2 = 21316
⇒ (d/2)2 = 12100
⇒ d/2 = 110
⇒ d = 220 m
Area = (192 × 220)/2 = 21120 m2 = 2.112 hectares