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The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?

Correct answer: B. 17 m

  • A. 8.5 m
  • B. 17 m
  • C. 34 m
  • D. 51 m

Explanation

Let the breadth be b m, so the length is 3b m. Then 3b2 = 867 m2, giving b2 = 289 m2 and b = 17 m. The likely mistake is option a, which may result from taking an incorrect square root or dividing the area by 3 only once.

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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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