Question

Abcd is square pqrs is a rhombus lying inside the square such that p,q,r and s are the mid points of ab,bc,cd and da respectively.A point is slected at random in the squres .Find the probability that it lies rhombus

Answer 1

PQRs will be square joining mid pt of square we get square area of ABCD=AB×AB in triangle APQ angleA =90 so PQ×PQ=AP×AP+AQ×AQ AP =AQ PQ×PQ=(AB×AB)/2 probability =AB×AB/(2×AB×AB)=1/2 is answer

Answer 2

Here is your answer.....