AC, measures a diagonal of the rectangle ABCD, 5 units. The area of the rectangle is 12 square units. What is the perimeter of the rectangle?

Question: AC, measures a diagonal of the rectangle ABCD, 5 units. The area of the rectangle is 12 square units. What is the perimeter of the rectangle?

Solution:
মনে করি, দৈর্ঘ্য = a এবং প্রস্থ = b

শর্তমতে, ab = 12 এবং a² + b² = 5² = 25

আমরা জানি, (a + b)² = a² + b² + 2ab
⇒ (a + b)² = 25 + 2(12)
⇒ (a + b)² = 49
⇒ a + b = 7

∴ পরিসীমা = 2(a + b) = 2 × 7 = 14 একক।