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The Length of a plot is four times is breadth. A playground measuring 1200 square meters occupies a third of the total area of the plot. What is the length of the plot in meters?

Correct answer: D. None of these

  • A. 20
  • B. 30
  • C. 60
  • D. None of these

Explanation

The playground is one-third of the plot, so the plot area is 3 × 1200 m² = 3600 m². If breadth is b m, length is 4b m, giving 4b² = 3600 m², b = 30 m and length = 120 m, which is not listed. The likely trap is selecting 60 m by confusing the breadth or by not applying the one-third condition.

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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.

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