If the side of a square is increased by 25% then it's area is increased by_________?
Correct answer: D. 56.25%
- A. 25%
- B. 40.5%
- C. 55%
- D. 56.25%
Explanation
If the original side is s, the new side is 1.25s. Area changes by the square of this factor: (1.25)² = 1.5625, so the increase is 0.5625 × 100% = 56.25%. The likely trap is 25%, which applies the side increase directly instead of squaring it for area.
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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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