Question 19.
The area of the quadrilateral bounded by the Y -axis, the line x = 5 , and the lines |x − y| − |x − 5| = 2 , is
A
B
C
D
Question Explanation
Text ExplanationVideo Explanation
From the inequality and nature of x, and y, we get the given diagram:
We need to find the area of the quadrilateral ABDE = area of rectangle ABCD + area of triangle CDE
=> Area of ABCD = (7-3)*5 = 20 units, and the area of triangle CDE = (1/2)*10*5 = 25 units.
Hence, the area of the quadrilateral ABDE = (20+25) = 45 units.
