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What is the area, in square inches, of the trapezoid below?

What is the area, in square inches, of the trapezoid below?

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Full solution

Q. What is the area, in square inches, of the trapezoid below?
  1. Identify dimensions: Identify the dimensions of the trapezoid: Assume the trapezoid has bases of lengths aa and bb, and height hh. We need these values to calculate the area.
  2. Use area formula: Use the area formula for a trapezoid:\newlineArea = 12×(a+b)×h\frac{1}{2} \times (a + b) \times h. This formula calculates the area by averaging the lengths of the bases and multiplying by the height.
  3. Substitute given values: Substitute the given values:\newlineLet's say a=10a = 10 inches, b=6b = 6 inches, and h=4h = 4 inches. Plugging these into the formula gives:\newlineArea = 12×(10+6)×4=12×16×4=32\frac{1}{2} \times (10 + 6) \times 4 = \frac{1}{2} \times 16 \times 4 = 32 square inches.

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