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The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is_______?

Correct answer: D. 480 sq m

  • A. 529 sq m
  • B. 240 sq m
  • C. 260 sq m
  • D. 480 sq m

Explanation

The diagonals of a rhombus bisect each other at right angles. Half of the known diagonal is 10 m, so the other half is √(26² - 10²) m = √576 m = 24 m, making the other diagonal 48 m. Area = 1/2 x 20 m x 48 m = 480 m², so option d is correct; option c, 260 m², incorrectly treats the side as an area-related value.

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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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