In parallelogram pqrs,pq=15CM.altitudes sm and sn are corresponding to base pq and qr respectively. If sm=6cm and sn=10 cm Then find qr and perimeter of pqrs
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Length of side QR = 25 cm and perimeter of the parallelogram is 80 cm.
Step-by-step explanation:
Area of the parallelogram PQRS can be represented as
Area of the parallelogram = Base × Height
= PQ × SN
= 15×10
= 150 cm²
Area of the parallelogram PQRS
= Base × Height
= RQ × SM
= 6RQ
6RQ = 150
RQ = 25 cm
Now perimeter of PQRS = 2(PQ + RQ)
= 2(15 + 25)
= 80 cm
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