Multiple choice

A room has rectangular floor of size $ 300 m$ by $200 m$ . A square carpet of side $180 m$ is laid in the room. Find the area of floor which is not carpeted.

  1. $27600m^2$
  2. $29600m^2$
  3. $26600m^2$
  4. $23600m^2$
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A Correct answer
Explanation

Area of floor = 300 * 200 = 60000. Area of carpet = 180 * 180 = 32400. Uncarpeted area = 60000 - 32400 = 27600.

AI explanation

Using the area of a rectangle formula, the total floor area is 300 m multiplied by 200 m, giving 60000 sq m. Using the area of a square formula, the carpeted area is 180 m squared, resulting in 32400 sq m. Subtracting the carpeted area from the total area gives 60000 minus 32400, resulting in 27600 sq m.