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If the side of a square is increased by 25 % then how much percent does it's area get increased:

Correct answer: D. 56.25

  • A. 125
  • B. 156.25
  • C. 50
  • D. 56.25

Explanation

Increasing the side by 25% makes it 1.25 times the original, so the area becomes 1.25² = 1.5625 times the original. The increase is 1.5625 - 1 = 0.5625, or 56.25%; option b, 156.25%, is the new area expressed as a percentage of the old area, not the percentage increase.

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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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