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Answer:
51cm
Step-by-step explanation:
⇒ In △ABC, R and P are the mid-points of AB and BC
∴ RP∥AC, RP=
2
1
AC [ By mid-point theorem ]
In a quadrilateral RPQA,
⇒ RP∥AQ,RP=AQ
∴ RPQA is a parallelogram
⇒ AR=
2
1
AB
∴ AR=
2
1
×30=15cm
⇒ AR=PQ=15cm [ Since, opposite sides are equal ]
⇒ RP=
2
1
AC=
2
1
×21=10.5cm [ Since, opposite sides are equal ]
⇒ Perimeter of ARPQ=AR+QP+RP+AQ
=15+15+10.5+10.5
=51cm
∴ Perimeter of ARPQ is 51cm
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