किसी समलम्ब का क्षेत्रफल 60  सेमी2 है। समलम्ब की समानांतर भुजाओं के बीच की दूरी इसके क्षेत्रफल की 10% है। इसकी समानांतर भुजाओं की लंबाई का योग ज्ञात कीजिए?

  1. 16 सेमी 
  2. 12 सेमी 
  3. 20 सेमी 
  4. 18 सेमी 

Answer (Detailed Solution Below)

Option 3 : 20 सेमी 
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Detailed Solution

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दिया गया है:

समलम्ब का क्षेत्रफल= 60 सेमी2.

संकल्पना:

क्षेत्रमिति

प्रयोग किया गया सूत्र:

समलम्ब का क्षेत्रफल 

गणना:

समलम्ब का क्षेत्रफल = 60 सेमी2

 समलम्ब की समानांतर भुजाओं के बीच की दूरी  =  60 का 10% = 6 सेमी 

माना समलम्ब की समानांतर भुजाओं की लंबाई क्रमशः ‘a’ सेमी और ‘b’ सेमी है।

अतः,

[(a + b)/2] × 6 = 60

⇒ (a + b)/2 = 10

⇒ a + b = 20

अतः,

समानांतर भुजाओं की लंबाई का योग = 20 सेमी 

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