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If the side of a square is increased by 25 %. Then its area is increased by:__________?

Correct answer: D. 56.25 %Quiz Mode Feature

  • A. 25 %
  • B. 55%
  • C. 40.5 %
  • D. 56.25 %Quiz Mode Feature

Explanation

If the original side is s units, the new side is 1.25s units. Area changes by the square of the side factor, so the new area is (1.25)^2s² = 1.5625s², giving an increase of 0.5625 × 100% = 56.25%. A student may choose a, 25%, by applying the side-length increase directly to the area instead of squaring the scale factor.

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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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