Find the area of a rhombus, the lengths of whose diagonals are 16 cm and 24 cm respectively.


Here, Let ABCD be Rhombus with diagonals AC and BD


Here let AC = 24 and BD = 16


We know that, in a Rhombus, diagonals are perpendicular bisectors to each other


if we consider ABC AC is base and OB is height


Similarly, in ADC AC is base and OD is height


Now, Area of Rhombus = Area of ABC + Area of ADC


= x AC x OB + x AC x OD


= x 24 x + x 24 x (Since AC and BC are perpendicular bisectors OB = OD = )


= x 24 x + x 24 x = 96 + 96 = 192 cm2


Area of Rhombus ABCD is 192cm2

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