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In ΔCEF,
CE = 10 cm and EF = 6cm
Using Pythagoras theorem:
⇒CE² = CF² + EF²
⇒CF²= CE² – EF²
⇒CF² = 152 – 62
⇒CF² = 225-36
⇒CF² = 189
⇒CF = √189
= √ (9×21) = 3√21 cm
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From the figure we can write,
Area of trapezium = Area of parallelogram AECD +
Area of area of triangle CEF
Area of trapezium = height + 1/2 (sum of parallel sides)
Area of trapezium = 3√21 × 1/2 (25 + 13) Area of trapezium = 3√21 × 19 = 57√21
∴ Area of trapezium = 57√21 cm²
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I hope it helps.
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