Please help me to solve Q.NO. 8
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given:-PQ||RS
SP⏊PQ
PQ=15cm
QS=17cm
RS=11cm
Now in ΔPQS
∵SP⏊PQ
∴(PS)²+(PQ)²=(QS)²
⇒(PS)²=(17)²-(15)²
⇒PS=√(289-225)
⇒PS=±8
PS=8cm[∵length can never be negetive]
now
ar(PQRS)=(PQ+RS)PS/2
⇒ar(PQRS)=(15+11)×8/2
⇒ar(PQRS)=104cm²
SP⏊PQ
PQ=15cm
QS=17cm
RS=11cm
Now in ΔPQS
∵SP⏊PQ
∴(PS)²+(PQ)²=(QS)²
⇒(PS)²=(17)²-(15)²
⇒PS=√(289-225)
⇒PS=±8
PS=8cm[∵length can never be negetive]
now
ar(PQRS)=(PQ+RS)PS/2
⇒ar(PQRS)=(15+11)×8/2
⇒ar(PQRS)=104cm²
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