Question

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

• A. 45
• B. 55
• C. 60
• D. None of Above

Answer 1

Answer: (A)

45

Answer 2

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): $45$