Q5

5. Find the area of the figure formed by joining the points (1,0), (0,1), (-1,0) and (0,-1).

Dear student

We know that distance between the points x1,y1 and x2,y2 is given by=x2-x12+y2-y12 Coordianates are  A0,1,B1,0,C0,-1,D-1,0Distance between AB=1-02+0-12=2Distance between BC=-1-02+0-12=2Distance between CD=-1-02+0+12=2Distance between DA=-1-02+0-12=2Since all sides are equal,so it is a square.Area of square =s2   where s is the side of square.Area of square =22=2 sq. units
Regards

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