\( \mathrm{ABCD} \) is a trapezium in which \( \mathrm{AB} \| \mathrm{DC} \) and \( \mathrm{P}, ... VIDEO
\( \mathrm{ABCD} \) is a trapezium in which \( \mathrm{AB} \| \mathrm{DC} \) and \( \mathrm{P}, \mathrm{Q} \) are points on \( A D \) and \( B C \) respectively such that \( \mathrm{PQ} \| \mathrm{DC} \). If \( \mathrm{PD}=9 \mathrm{~cm}, \mathrm{BQ}=35 \mathrm{~cm} \) and \( \mathrm{QC}=15 \) \( \mathrm{cm} \), find \( \mathrm{AD} \).
a. \( 55 \mathrm{~cm} \)
b. \( 21 \mathrm{~cm} \)
c. \( 30 \mathrm{~cm} \)
d. \( 15 \mathrm{~cm} \)
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