The diagonals of a rhombus-shaped field are 360 m and 66 m. What is the…
2026
The diagonals of a rhombus-shaped field are 360 m and 66 m. What is the perimeter of the field (in meters)?
- A.
732
- B.
709
- C.
701
- D.
749
Attempted by 12 students.
Show answer & explanation
Correct answer: A
Diagonals bisect at right angles: Half-diagonals are 360/2 = 180 m and 66/2 = 33 m.
Find side length (s) using Pythagorean theorem: s = sqrt(180^2 + 33^2).
s = sqrt(32400 + 1089) = sqrt(33489) = 183 m.
Calculate perimeter: 4 * s = 4 * 183 = 732 m.
Final Answer: Option 1