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Step-by-step explanation:
the given hexagon consists of 2 trapeziums
trapezium PQRU -
1st parallel side - 15cm
2nd parallel side - 24 cm
height - 12 cm
Therefore, area = 234 cm
Trapezium RSTU -
1st parallel side - 15 cm
2nd parallel side - 21 cm
height - 10 cm
Therefore , area = 180cm
Total area of hexagon = 180 + 234
= 414cm²
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