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

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

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Full solution

Q. What is the area, in square meters, of the trapezoid below?
  1. Find Dimensions: Find the dimensions of the trapezoid; usually, they are given in the problem. If not provided, assume some values for the bases and height. Let's say the shorter base b1b_1 is 55 meters, the longer base b2b_2 is 1010 meters, and the height hh is 66 meters.
  2. Use Area Formula: Use the formula for the area of a trapezoid: A=12⋅(b1+b2)⋅hA = \frac{1}{2} \cdot (b_1 + b_2) \cdot h. Plug in the values: A=12⋅(5+10)⋅6A = \frac{1}{2} \cdot (5 + 10) \cdot 6.
  3. Calculate Sum: Calculate the sum of the bases: 5+10=155 + 10 = 15 meters.
  4. Multiply by Height: Multiply the sum of the bases by the height: (12)×15×6=7.5×6(\frac{1}{2}) \times 15 \times 6 = 7.5 \times 6.
  5. Finish Calculation: Finish the calculation: 7.5×6=457.5 \times 6 = 45 square meters.

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