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The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?

Correct answer: B. 32 m

  • A. 31 m
  • B. 32 m
  • C. 16 m
  • D. 20 m

Explanation

The square pond has area 8 m x 8 m = 64 m². Since this is 1/8 of the field, field area = 8 x 64 m² = 512 m²; with length twice width, 2w² = 512 m², so w = 16 m and length = 32 m. Option b is correct; option c gives the width instead of the requested length.

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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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