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The plan for a rectangular area is drawn to a scale of 1:500. If the length and breadth in the plan is 30 cm and 20 cm, find the actual area.

Correct answer: D. 15000 m²

  • A. 1200 m²
  • B. 1500 m²
  • C. 12000 m²
  • D. 15000 m²

Explanation

A scale of 1:500 makes the actual length 30 cm × 500 = 15,000 cm = 150 m and the actual breadth 20 cm × 500 = 10,000 cm = 100 m. The actual area is 150 m × 100 m = 15,000 m². The likely mistake is option c, 12,000 m², from applying the scale incorrectly to one or both dimensions.

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About Area and Volume

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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