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A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ration of 6:5 The smaller side if the rectangle is:_________?

Correct answer: B. 60 cm

  • A. 30 cm
  • B. 60 cm
  • C. 72 cm
  • D. 132 cm

Explanation

The wire length is the circle's circumference: 2πr = 2 × (22/7) × 42 cm = 264 cm. If the rectangle sides are 6x and 5x, then 2(6x + 5x) = 264 cm, giving x = 12 cm and smaller side 5x = 60 cm; option a, 30 cm, is half the smaller side and ignores the full perimeter.

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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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