The perimeter of a rhombus is 100 cm and one of its diagonal is 40 cm. Then its area is :

एक समचतुर्भुज का परिमाप 100 सेमी है और उसका एक विकर्ण 40 सेमी है, तो उसका क्षेत्रफल है :

1. A300 cm²300 सेमी²
2. B600 cm²600 सेमी²
3. C780 cm²780 सेमी²
4. D900 cm²900 सेमी²

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: B. 600 cm²600 सेमी²

Explanation

Side = 25 cm; half-diagonals 20 and √(25² − 20²) = 15, so diagonals 40 and 30; area = 40 × 30 ÷ 2 = 600 cm².

भुजा 25; विकर्ण 40 व 30; क्षेत्रफल = 40 × 30 ÷ 2 = 600 सेमी²।