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The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is_________?

Correct answer: A. 8 m

  • A. 8 m
  • B. 10 m
  • C. 6 m
  • D. 12 m

Explanation

Let the base be b m. The altitude is twice the base, so it is 2b m, and the parallelogram area is b x 2b = 2b² = 128 m². Hence b² = 64 m² and b = 8 m, making option a correct; option d, 12 m, does not satisfy the area equation.

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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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