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The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?

Correct answer: B. 240 cm2

  • A. 260 cm2
  • B. 240 cm2
  • C. 280 cm2
  • D. 220 cm2

Explanation

A rhombus has four equal sides, so each side is 68 cm / 4 = 17 cm. Half of the 16 cm diagonal is 8 cm, and the other half is √(17² - 8²) cm = 15 cm, giving the other diagonal as 30 cm. Area = 1/2 x 16 cm x 30 cm = 240 cm², so option b is correct; option a, 260 cm², comes from an incorrect diagonal calculation.

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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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