उस आयत का क्षेत्रफल क्या है जिसका विकर्ण 17 सेमी और चौड़ाई 8 सेमी है?

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RRB ALP Electrician 22 Jan 2019 Official Paper (Shift 2)
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  1. 120 सेमी2
  2. 125 सेमी2
  3. 128 सेमी2
  4. 136 सेमी2

Answer (Detailed Solution Below)

Option 1 : 120 सेमी2
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दिया गया है:

आयत की चौड़ाई = 8 सेमी

आयत का विकर्ण = 17 सेमी

प्रयुक्त सूत्र:

(विकर्ण)2 = (लंबाई)2 + (चौड़ाई)2

आयत का क्षेत्रफल = लंबाई × चौड़ाई

गणना:

(विकर्ण)2 = (लंबाई)2 + (चौड़ाई)2

⇒ (17) 2 = (लंबाई)2 + (8) 2

लंबाई = √(289 - 64)

लंबाई = √225

लंबाई = 15 सेमी

आयत का क्षेत्रफल = लंबाई × चौड़ाई

⇒ 15 × 8

⇒ 120 सेमी2

∴ आयत का क्षेत्रफल 120 सेमी2 है।
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