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Area of the trapezoid?

A normal-level "Area" problem.The "÷2" in the formula is there because flipping a second copy of the trapezoid makes a parallelogram.

Area ★★★☆☆☆ Area of the trapezoid? 6cm 10cm 8cm

Hints

  1. A trapezoid's area is decided by its two parallel sides (the top and bottom) and its height.
  2. Take a second identical trapezoid, turn it 180° and join it on.
  3. Look at what you get: opposite sides are parallel — a parallelogram.
  4. Its base is 10 + 6 = 16 cm, and its height is the same 8 cm as the trapezoid.
  5. The parallelogram's area is 16 × 8 = 128 cm² — which is two trapezoids.
  6. Two of them, so divide by 2 at the end. 128 ÷ 2

Answer 64cm²

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