As shown in the figure, if ∠ B = 90 °, ad ‖ BC, ab = BC = 8, CD = 10, the area of trapezoid is______ A unit of square

Let de ⊥ BC ∵ ∠ B = 90 ° ab ∥ de. and ∵ ad ∥ BC ∥ quadrilateral abed is rectangle ≁ ad = be, ab = de ∥ in RT △ Dec, CD = 10, de = AB = 8. According to Pythagorean theorem, CE = CD2 − de2 = 102 − 82 = 6 ∥ be = bc-ce = 8-6 = 2 ∥ ad = 2 ∥ s trapezoid ABCD = 12 (AD + BC) × AB = 12 × (2 + 2 + 6) × 8 = 40

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