Mathematics

Problem

Parallelogram

RSTU

is drawn with diagonal

RT

. The area of

\triangle RST

18\,\text{cm}^2

. (i) Find the area of

\triangle RTU

. (ii) Hence determine the area of the parallelogram

RSTU

. (iii) If the perpendicular drawn from vertex

R

to side

ST

measures

6\,\text{cm}

, calculate the length of side

ST