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Question

In the given figure, quadrilateral ABCD is circumscribed. The circle touches the sides AB, BC, CD and DA at P, Q, R, S respectively. If AP = 9 cm, BP = 7 cm, CQ = 5 cm and DR = 6 cm, find the perimeter of quad. ABCD.


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Solution

DS = DR = 6

CR = CQ = 5

BQ = BP = 7

AS = AP = 9

Perimeter of the quadrilateral ABCD = AS + DS + DR + CR + CQ + BQ + BP + AP

= 9 + 6 + 6 + 5 + 5 + 7 + 7 +9

= 54 cm.


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