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Which one of the following has a greater perimeter than the rest?

Correct answer: C. A rectangle with 10 cm as length and 40 sq.cm as area

  • A. A square with an area of 36 sq.cm
  • B. An Equilateral Triangle with a side of 9 cm
  • C. A rectangle with 10 cm as length and 40 sq.cm as area
  • D. A circle with a radius of 4 cm

Explanation

The square has side √36 cm² = 6 cm, so its perimeter is 24 cm. The triangle perimeter is 3 × 9 cm = 27 cm, the rectangle has breadth 40 cm² ÷ 10 cm = 4 cm and perimeter 28 cm, while the circle has circumference 2π(4 cm) ≈ 25.13 cm; therefore the rectangle is greatest. The likely wrong choice is 27 cm for the triangle, because it overlooks the rectangle's 28 cm 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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