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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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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.
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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