Multiple choice

The geometric figure consists of a right triangle and $2$ semicircles. Find the area of the triangle if the diameter of the two circles are $ 25 \ m $ and $ 12 \ m$ respectively.

  1. $150 \ m^2$
  2. $140 \ m^2$
  3. $142 m^2$
  4. $117 m^2$
  5. $15 m ^2$
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AI explanation

The diameters of the two semicircles are 25 m and 12 m, which correspond to the base and height of the right triangle. Using the area of a triangle formula, one half times base times height, we get one half times 25 times 12. Multiplying these values gives an area of 150 square meters.

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