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A rectangular carpet has an area of 120 sq.m and a perimeter of 46 m. The length of its diagonal is:_________?

Correct answer: C. 17 m

  • A. 15 m
  • B. 16 m
  • C. 17 m
  • D. 20 m

Explanation

The perimeter gives L + B = 46 metres ÷ 2 = 23 metres, and the area gives LB = 120 square metres. The two sides are 15 metres and 8 metres, so the diagonal is √(15² + 8²) metres = √289 metres = 17 metres. The common mistake is choosing 15 metres, which is the longer side rather than the diagonal.

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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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