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The ratio of the area of a square to that of the square drawn on its diagonal is?

Correct answer: D. 1:2

  • A. 2:5
  • B. 3:4
  • C. 3:5
  • D. 1:2

Explanation

If the original square has side s, its area is s². Its diagonal is s√2, so the square drawn on that diagonal has area (s√2)² = 2s²; hence the ratio is s²:2s² = 1:2. Option a can result from incorrectly treating the diagonal as equal to the side.

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About Area and Volume

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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