math most difficult question in the world

Question

Ques 3 : PQRS is a square. P is the point (0,7),Q(2,1) and R(8,3).Calculate :

a) The coordinates of S

b) The area of square.

(show your answer step by step)

Answer 1

P(0,7), Q(2,1) R(8,3)

PQRS is supposed to be a square

each side of a square should have the same length

It should be true that PQ=QR=RS=SP

use the pythagorean theorem to calculate the lengths of the sides

PQ = sqr(36+4) = sqr40 =2sqr10

QR = sqr(49+1) = sqr50 =5sqr2

PR = sqr(64+16) = sqr80 = 4sqr5

this is not a square, so there is no way to locate S or find the area of PQRS