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Explanation:

Let AB = x

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In right ∆CED,CE = AB = x
⇒ CD = x2+25

In the given figure,
⇒ 3 + 8 + x + x2+25 = 36
⇒ x2+25 = 25 – x
⇒ x2 + 25 = 625 + x2 – 50x
⇒ 50x = 600
⇒ x = 12

Now, area of a trapezium = 1/2 × (sum of parallel sides) × height
= 1/2 × 11 × 12 = 66

Hence, 66.

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