Two sides of a square lie on the lines `x+y=1a n dx+y+2=0.` What is its area?

Explanation

Clearly, the length of the sides of the square is equal to the distance between the parallel lines.


`x+y-1+0..(1)`


and `x+y+2=0..(2)`


Hence,side length=`|(2-(-1))/sqrt(1+1)=3/sqrt2`


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