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The diagonal of a rhombus is 16 cm and 30 cm respectively. The area of the rhombus (in cm²) is:
240
120
480
200
240
Directly multiply the two diagonals and halve the product in a single mental step.
Diagonals of the rhombus d1 = 16 cm and d2 = 30 cm
Area=21×d1×d2
Directly multiply the two diagonals and halve the product in a single mental step.
Forgetting to divide the product of diagonals by 2, which leads to double the correct area (16×30=480).
Identify Given Parameters
Note the lengths of the two diagonals given in the problem statement: d1=16 cm and d2=30 cm.
d1=16 cm,d2=30 cm
Recall Formula for Area of Rhombus
The area of a rhombus in terms of its diagonals is given by half the product of the diagonals.
Area=21×d1×d2
Substitute Values and Calculate
Substitute d1=16 and d2=30 into the formula and simplify to find the area in square centimeters.
Area=21×16×30=8×30=240
A is correct because the area of the rhombus is 21×16×30=240 cm2.
Remember that the diagonals of a rhombus bisect each other at right angles (90°), allowing you to find the side length using Pythagoras theorem: side=(d1/2)2+(d2/2)2.
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