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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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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