show that four points (0,-1),(6,7)(-2,3),(8,3) are the vertices of a rectangle.also find its area?

Asked by Kuyili Surya | 19th Nov, 2012, 07:10: PM

Expert Answer:

Let the given points be A(0,-1),B(6,7), C(-2,3),D(8,3).
Using distance formula, we get,
AD = 4 (root 5)
BC = 4 (root 5)
AB = 10
CD = 10
AC = 2 (root 5)
BD = 2 (root 5)
 
Therefore,
AD = BC, AB = CD and AC = BD
 
Hence, ABCD is a rectangle.

Area of the rectangle = AB x AD = 40 (root 5) sq units

Answered by  | 20th Nov, 2012, 09:55: AM

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