Show that four points `(0,-1),(6,7),(-2,3)a n d(8,3)` are the vertices of a rectangle. Also, find its area.

Explanation

We have to proof that four points `(0,-1),(6,7),(-2,3)a n d(8,3)`are the vertices of a rectangle and find its area.

As, A(0-1), B(6,7), C(-2,3) and D(8,3) be the given points , then

`AD=sqrt((8−0)^2+(3+1)^2)`

`=sqrt(64+16)`

`= 4sqrt(5)`,

`BC=sqrt((6+2)^2+(7-3)^2)`

`=sqrt(64+16)`

`= 4sqrt(5) `,

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