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A rectangular field has dimensions 25m by 15m. Two mutually perpendicular passage of 2m width have been left in it's central part and grass has been grown in rest of the field. The area under the grass is____________?

Correct answer: B. 299m2

  • A. 295m2
  • B. 299m2
  • C. 300m2
  • D. 375m2

Explanation

The field area is 25 m x 15 m = 375 square metres. The two central passages cover 25 m x 2 m + 15 m x 2 m - 2 m x 2 m = 76 square metres, because their central overlap is counted twice. Grass therefore covers 375 - 76 = 299 square metres. The likely error is option a, which fails to subtract the overlap correctly.

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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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