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If the height of a triangle is decreased by 40% and its base is increased by 40% what will be the effect on its area?

Correct answer: C. 16% Decrease

  • A. No change
  • B. 8%decrease
  • C. 16% Decrease
  • D. 16%increases

Explanation

Triangle area is 1/2 × base × height. The new area factor is 1.40 × 0.60 = 0.84, so the area becomes 84% of its original value and decreases by 16%. The likely trap is no change, because the 40% increase and decrease are incorrectly treated as cancelling each other.

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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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