Question:

The area of the quadrilateral bounded by the \(Y\) -axis, the line \(x = 5\) , and the lines \(|x-y|-|x-5|=2\), is

Updated On: Sep 25, 2024
  • 45
  • 55
  • 60
  • None of Above
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The Correct Option is A

Solution and Explanation

The area of the quadrilateral bounded by the Y -axis, the line x = 5,and the lines |x-y|-|x-5|=2,is

Area of quadrilateral \(ABDE\) = Area of rectangle \(ABCD\) + Area of triangle \(△CDE\)
\(= (7−3)×5 + \frac 12×10×5\)
\(=4×5 + 25\)
\(=20+ 25\)
\(=45\) square units.

So, the correct option is (A): \(45\)

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