Mathematics

Problem

In quadrilateral

PQRS

, the side lengths are

PQ = 7\,\text{cm}

QR = 9\,\text{cm}

RS = 8\,\text{cm}

and

SP = 6\,\text{cm}

. If diagonal

PR = 10\,\text{cm}

, calculate the area of

PQRS

(give your answer correct to one decimal place).