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Mathematics
Mathematics
Problem
Parallelogram
P
Q
R
S
PQRS
P
QR
S
has both diagonals
P
R
PR
P
R
and
Q
S
QS
QS
drawn, intersecting at
O
O
O
. If
ar
(
△
P
O
R
)
=
15
cm
2
\text{ar}(\triangle POR)=15\,\text{cm}^2
ar
(
△
P
O
R
)
=
15
cm
2
, determine: (i)
ar
(
△
Q
O
S
)
\text{ar}(\triangle QOS)
ar
(
△
QO
S
)
(ii)
ar
(
P
Q
R
S
)
\text{ar}(PQRS)
ar
(
P
QR
S
)
.
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