Question 107

The area enclosed by |x| + |Y| = 2 is:

Solution

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There are four different equations possible from this given equation. They are 

x+y=2

x-y=2

-x+y=2

-x-y=2

These lines forms a rhombus having diogonal length 4. The area of rhombus is $$\frac{1}{2}\cdot d_1\cdot d_2$$.

$$\frac{1}{2}\cdot4\cdot4\ =\ 8$$

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