- RA = 14 cm, QC = 12 cm, SA = 12 cm, CP = 10 cm, SP-30 cm, BT = 7 cm. Find the area of PQRST. R Q 14 cm 12 cm Р h 10 cm С 12 cm S A Вр 7 cm
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Answer:
AB=6cm,BC=9cm,CD=12cm and SP=36cm
From PA,QB,RC and SD are perpendicular to the same line l, so they are parallel to each other.
By theorem of intercepts, we have
AB
PQ
=
BC
QB
=
CD
RS
=
AD
PS
⇒
6
PQ
=
9
QR
=
12
RS
=
27
36
⇒
6
PQ
=
27
36
∴ PQ=8cm
⇒
9
QR
=
27
36
∴ QR=12cm
⇒
12
RS
=
27
36
∴ RS=16cm
Step-by-step explanation:
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