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A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be________?

Correct answer: D. 15 m, 10 m

  • A. 12 m, 10 m
  • B. 13 m, 12 m
  • C. 14 m, 11 m
  • D. 15 m, 10 m

Explanation

For length L m and breadth B m, L + B = 50 m ÷ 2 = 25 m and LB = 150 m². The pair 15 m and 10 m has sum 25 m and product 150 m², so it satisfies both conditions. Option a, 12 m and 10 m, may attract students who check only the approximate area and ignore the perimeter.

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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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