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The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.

Correct answer: D. None of these

  • A. 18 : 5
  • B. 7 : 16
  • C. 5 : 14
  • D. None of these

Explanation

The square's side is √4096 sq.cm = 64 cm. The rectangle's length is 2 x 64 cm = 128 cm and its breadth is 64 cm - 24 cm = 40 cm, so breadth:length = 40:128 = 5:16. Since 5:16 is not listed, option d is correct. Option b reverses or mishandles the required ratio.

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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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