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The diagonal of a rhombus is 14 cm and 48 cm. The area of the rhombus (in cm²) is:
336
672
168
504
336
Use the property that the area of a rhombus is half the product of its diagonals, making it a quick multiplication followed by a simple division by 2.
Diagonal d1=14 cm, Diagonal d2=48 cm
Area=21×d1×d2
Use the property that the area of a rhombus is half the product of its diagonals, making it a quick multiplication followed by a simple division by 2.
Forgetting to divide by 2 and mistakenly treating the product of the diagonals as the area.
Identify Given Values
Note down the lengths of the two diagonals given in the problem statement: d1=14 cm and d2=48 cm.
d1=14 cm,d2=48 cm
Apply Area Formula
Substitute the values of the diagonals into the formula for the area of a rhombus: Area=21×d1×d2.
Area=21×14×48
Calculate the Area
Simplify the expression by dividing 14 by 2 to get 7, and then multiply by 48 to get 336 cm².
Area=7×48=336
A is correct because the calculated area of the rhombus is 336 cm².
Similar diagonal-based formulas are used for kites and can be extended to find side lengths using the parallelogram law in geometry.
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