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