In the given figure, quadrilateral ABCD is circumscribed. The circle touches the sides AB, BC, CD, 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 quadrilateral ABCD.

54 cm

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62 cm

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50 cm

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58 cm

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Solution

The correct option is A 54 cm

DS = DR = 6 cm

CR = CQ = 5 cm

BQ = BP = 7 cm

AS = AP = 9 cm

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

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

= 54 cm.

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In the given figure, quadrilateral ABCD is circumscribed. The circle touches the sides AB, BC, CD, 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 quadrilateral ABCD.

The correct option is A 54 cm DS = DR = 6 cm CR = CQ = 5 cm BQ = BP = 7 cm AS = AP = 9 cm Perimeter of the quadrilateral ABCD = AS + DS + DR + CR + CQ + BQ + BP + AP = 9 cm + 6 cm + 6 cm + 5 cm + 5 cm + 7 cm + 7 cm + 9 cm = 54 cm.

The correct option is A 54 cm

DS = DR = 6 cm

CR = CQ = 5 cm

BQ = BP = 7 cm

AS = AP = 9 cm

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

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

= 54 cm.