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The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is__________?

Correct answer: D. 2520 m2

  • A. 1520 m2
  • B. 2420 m2
  • C. 2480 m2
  • D. 2520 m2

Explanation

The perimeter gives length + breadth = 206 m ÷ 2 = 103 m. Solving length − breadth = 23 m and length + breadth = 103 m gives length = 63 m and breadth = 40 m, so area = 63 m × 40 m = 2520 m2. The likely mistake is choosing 2480 m2, usually from an arithmetic error after finding the dimensions.

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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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