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The perimeter of a rectangle and square are 160m each. The area of the rectangle is less than that it's square by 100cm meters. The less than that of the square by 100 sq.meters. the length of rectangle is___________?

Correct answer: C. 50m

  • A. 30m
  • B. 40m
  • C. 50m
  • D. 60m

Explanation

The square has perimeter 160 m, so its side is 160 m ÷ 4 = 40 m and its area is 1600 square metres. The rectangle has area 1600 - 100 = 1500 square metres, while its length and breadth satisfy l + b = 160 m ÷ 2 = 80 m. The pair 50 m and 30 m has product 1500 square metres, so the length is 50 m. Option b is the common error from using the square's side as the rectangle's 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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