The parameter of a field in the shape of a rhombus is 800 m, and one diagonal is 240 m. What is the area (in m2) of the field?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 38400.
Side length = 800/4 = 200 m
Other diagonal = 2 × √[Side2 - (Given diagonal/2)2]
= 2 × √[2002 - (240/2)2]
= 2 × √[40000 - 14400]
= 2 × √25600
= 320 m
Area = (d1 × d2)/2 = (240 × 320)/2 = 38400 m2