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Answer» Step-by-step explanation: (i) In quadrilateral PQRS, AREA = ar(PQS) + ar(QRS) => Area of PQS = 1/2 × 4× 7 = 14 cm² => Area of PRS = 1/2 × 3 × 7 = 10.5 cm² Area = 14 + 10.5 = 24.5 cm² (ii) In quadrilateral ABCD, AREA = ar(ABC) + ar(ACD) => Area of ABC = 1/2 × 6 × 3.5 = 10.5 cm² => Area of ACD = 1/2 × 6 × 2 = 6 cm² Area = 10.5 + 6 = 16.5 cm² (iii) In polygon ABCDE, AREA = ar(ABC) + ar(ACDE) => Area of ABC = 1/2 × 4 × 12 = 24 cm² => Area of ACDE = 1/2 × 2 × (8+12) = 20 cm² Area = 24 + 20 = 44 cm² |
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