The lengths of the sides of quadrilateral PQRS are PQ=x^2, QR=20-x, RS=x^2-4, PS=1-4x. Find a value of x that will make PQRS a kite (two pairs of congruent consecutive sides).

Answer 1

which two points are the endpoints of the short arm, and which two the endpoints of the long arm?

set short/long sides equal and solve for x. What do you get?

Answer 2

The points of PQRS go around clockwise. So x=4?

Answer 3

that doesn't answer my question. Where is P?