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A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?

Correct answer: A. 675, Rs.1350

  • A. 675, Rs.1350
  • B. 575, Rs.1350
  • C. 1350, Rs.675
  • D. None

Explanation

A 2.5 m path outside increases each dimension by 5 m, giving outer dimensions 80 m x 60 m. Path area = 80 m x 60 m - 75 m x 55 m = 4800 m² - 4125 m² = 675 m², and cost = 675 m² x Rs.2 per m² = Rs.1350. Option a is correct; option c reverses the area and cost figures.

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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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