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      Question

      <p><p>Sides of a parallelogram are

      in the ratio 6:5. Its area is 2700 sq. units. Altitude on the greater side is 30 units. Altitude on the smaller side is: </p></p>
      A 36 units Correct Answer Incorrect Answer
      B 32 units Correct Answer Incorrect Answer
      C 33 units Correct Answer Incorrect Answer
      D 30 units Correct Answer Incorrect Answer
      E 20 units Correct Answer Incorrect Answer

      Solution

      <p>&lt;p&gt;&amp;nbsp; Using formula,&lt;/p&gt; &lt;p&gt;Area of parallelogram = l x h&lt;/p&gt; &lt;p&gt;Let the sides of parallelogram be 6x and 5x.&lt;/p&gt; &lt;p&gt;Base &amp;times; Height = Area of parallelogram&lt;/p&gt; &lt;p&gt;&amp;rArr; 6x &amp;times; 30 = 2700&amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/p&gt; &lt;p&gt;&amp;rArr; x = 2700/(30 x 6) = 15&lt;/p&gt; &lt;p&gt;&amp;rArr; Sides = 90 and 75 units&lt;/p&gt; &lt;p&gt;Therefore, 75 x h = 2700&lt;/p&gt; &lt;p&gt;&amp;rArr; h = 2700/75 = 36 units&lt;/p&gt;</p>

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