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The diagonal of a rhombus is 16 cm and 12 cm respectively. The area of the rhombus (in cm²) is:
96
48
192
84
96
Directly multiply the two diagonals and divide by 2, or take half of one diagonal and multiply it by the full length of the other.
Diagonals of the rhombus are d1 = 16 cm and d2 = 12 cm.
Area=21×d1×d2
Directly multiply the two diagonals and divide by 2, or take half of one diagonal and multiply it by the full length of the other.
Students often forget to divide the product of the diagonals by 2, resulting in double the actual area value.
Identify Given Parameters
Note down the lengths of both diagonals provided in the question: d1=16 cm and d2=12 cm.
d1=16 cm,d2=12 cm
Apply Area Formula
Use the standard formula for the area of a rhombus when diagonals are known: Area=21×d1×d2.
Area=21×d1×d2
Calculate the Area
Substitute the values into the formula and simplify: 21×16×12=8×12=96 cm2.
Area=96 cm2
A is correct because the area calculated using the diagonal formula is 96 cm2.
Similar diagonal-based area formulas apply to kites and can be extended to find side lengths using the property that diagonals bisect each other at right angles.
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