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The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?

Correct answer: A. 37 ½ %

  • A. 37 ½ %
  • B. 60 %
  • C. 75 %
  • D. 120%

Explanation

When the length becomes 160% of its original value, the width must become 100/160 = 62.5% to preserve the same area. Therefore the width decreases by 100% - 62.5% = 37.5%, or 37 1/2%; option b, 60%, does not maintain the product of length and width.

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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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