The area of a kite with diagonals 16 cm and 20 cm is increased by increasing one diagonal by 25%. What is the new area?
16 सेमी और 20 सेमी विकर्णों (Diagonal) वाली एक पतंग (kite) के एक विकर्ण को 25% बढ़ा दिया जाता है। नया क्षेत्रफल (Area) क्या है?
Answer और ExplanationAnswer and explanation
Answer: (B) 200 cm²
पतंग का क्षेत्रफल (Area) = 12d1d2
मूल क्षेत्रफल = 12 × 16 × 20 = 160 cm²
एक विकर्ण (Diagonal) 25% बढ़ा: 16 → 20 (या 20 → 25)
नया क्षेत्रफल = 12 × 20 × 20 = 200 cm²
✓
नया क्षेत्रफल 200 cm² है।
Area of a kite = 12d1d2
Original area = 12 × 16 × 20 = 160 cm²
One diagonal increased by 25%: 16 → 20 (or 20 → 25)
New area = 12 × 20 × 20 = 200 cm²
✓
The new area is 200 cm².
SMART APPROACH
क्षेत्रफल (Area) हर विकर्ण (Diagonal) के समानुपाती (Proportional) है, तो यह भी 25% बढ़ेगा: 160 × 54 = 200 cm² — कोई भी विकर्ण बढ़ाओ।
Area is proportional to each diagonal, so it also rises by 25%: 160 × 54 = 200 cm² — whichever diagonal is increased.
Source: DP AWO/TPO · 20 Jan 2026 · Shift 3। Solution: Prashant Sir, Vijayastra।Source: DP AWO/TPO · 20 Jan 2026 · Shift 3. Solution by Prashant Sir, from Vijayastra.