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The diagonal of a rhombus is 24 cm and 10 cm. Find the area of the rhombus in cm².
120
240
60
144
120
Since the formula is half of the product of diagonals, simply multiply the two diagonals (24×10=240) and take half to instantly get 120 cm² without any complex working.
Diagonal d1=24 cm, Diagonal d2=10 cm
Area=21×d1×d2
Since the formula is half of the product of diagonals, simply multiply the two diagonals (24×10=240) and take half to instantly get 120 cm² without any complex working.
Students often forget to divide by 2 and mistakenly calculate the product of the diagonals as the area, leading to an incorrect choice of 240.
Identify given parameters
Note down the lengths of the two diagonals of the rhombus: d1=24 cm and d2=10 cm.
d1=24 cm,d2=10 cm
Apply the area formula
The area of a rhombus in terms of its diagonals is given by half the product of the diagonals: Area=21d1d2.
Area=21×24×10
Calculate the final value
Multiply 24 by 10 to get 240, and divide by 2 to arrive at 120 cm².
Area=120 cm2
A is correct because the area of the rhombus calculated using the formula is 120 cm².
Remember that the diagonals of a rhombus bisect each other at right angles (90°), which allows you to use the Pythagorean theorem to find the side length if needed.