Question

The area within the curve |x| + |y| = 8 is
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Answer 1

Answer:

          16 sq.units

Step-by-step explanation:

      Four cases arise from the given equation.

       x+y=8 when x>0 and y>0

       −x+y=8 when x<0 and y>0

      −x−y=8 when both x and y are <0

      x−y=8 when x>0 and y<0

If you plot them you will get co-ordinates as (8,0)(0,8)(−8,0)(0,−8)

 Join them you will get a square of sides equal to $8\sqrt{2}$ units.

Thus, area enclosed= Area of square=$(8\sqrt{2}^{2})$

           =16 sq.units

#SPJ2

Answer 2

Answer:

correct answer is 128 units