एक आयत का परिमाप 40 सेमी है, और उसकी लंबाई (l) और चौड़ाई (b) के बीच का अंतर 6 सेमी है। आयत का क्षेत्रफल क्या है?

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  1. 84 सेमी²
  2. 91 सेमी²
  3. 96 सेमी²
  4. 100 सेमी²
  5. 108 सेमी²

Answer (Detailed Solution Below)

Option 2 : 91 सेमी²
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दिया गया है:

परिमाप (P) = 40 सेमी

लंबाई और चौड़ाई के बीच अंतर = l - b = 6 सेमी

आयत के लिए परिमाप सूत्र:

P = 2(l + b)

दिए गए परिमाप को प्रतिस्थापित कीजिए:

2l + b = 40

l + b = 20.......................(समीकरण 1)

दिया गया अंतर:

l - b = 6............................(समीकरण 2)

समीकरण 1 और समीकरण 2 को जोड़ें:

(l + b) + (l - b) = 20 + 6

2l = 26

l = 13 सेमी

समीकरण 1 में l = 13 प्रतिस्थापित करें:

13 + b = 20

b = 7 सेमी

A = l × b = 13 × 7 = 91 सेमी2

इस प्रकार, सही उत्तर 91 सेमी² है।

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