What is the area of trapezium AEFB?

Consider the following for the next three (03) items that follow: Consider two identical semicircles and one circle inscribed in a rectangle of length 10 cm as shown in the figure given below. (Take \pi=3.14 and \sqrt{2}=1.4).

  1. A. 30 square cm
  2. B. 25 square cm
  3. C. 20 square cm
  4. D. 18.75 square cm

Correct Answer: D. 18.75 square cm

Explanation

Assuming AEFB is a trapezium formed with parallel bases of 10 cm and 5 cm (the distance between semicircle centers) and a specific height configuration (such as 2.5 cm), the area evaluates to \frac{1}{2}(10 + 5) \times 2.5 = 18.75 square cm.

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