Question

Calculate the area of pentagon PQRST in which PQ=QR=RS=ST=TP= 6 cm. Also PS= QS = 8 cm

Answer 1

ar(PQRST)=ar(PTS)+ar(QSP)+ar(RSQ)
$= 8 \sqrt{5}sq.sm + 8 \sqrt{5}sq.cm + 5 \sqrt{33}sq.cm \\ = 16 \sqrt{5}sq.cm + 5 \sqrt{33}sq.cm$