Question

The region represented by $\left|(x-y)\right|\le 2$ and $\left|(x+y)\right|\le 2$ is bounded by a :

• A. rhombus of side length $2$ units
• B. rhombus of area $8\sqrt{2}$ sq.units
• C. square of side length $2\sqrt{2}$ units
• D. square of area $16$ sq. units

Answer 1

The correct option is C square of side length $2\sqrt{2}$ units


Therefore, we have obtained a square : $ABCD$ with length of the side as $2\sqrt{2}$ and area of the square is $(2\sqrt{2}{)}^2$ units $=8$ sq. units