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Asked in a 2016 paper

The area of a rhombus in 2016 Sq.cm and its side is 65cm. The length of its diagonals are________?

Correct answer: B. 126cm,32cm

  • A. 125cm, 35cm
  • B. 126cm,32cm
  • C. 132cm,26cm
  • D. 135cm,25cm

Explanation

The area of a rhombus is half the product of its diagonals, so their product must be 2 × 2016 cm² = 4032 cm². Among the options, 126 cm × 32 cm = 4032 cm², and these diagonals also fit the 65 cm side because √(63² + 16²) cm = 65 cm. The likely trap is 135 cm and 25 cm, whose product gives the wrong area.

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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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