In the figure, ABCD is a parallelogram whose perimeter is 21 cm.
Find the area of the parallelogram.
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Given : ABCD is a parallelogram
perimeter is 21 cm
To Find : the area of the parallelogram
Solution:
Area of Parallelogram ABCD = AB * 4 = CD * 3
=> 4AB = 3CD
perimeter is 21 cm
=> 2(AB + CD) = 21
=> 2AB + 2CD = 21
=> 4AB + 4CD = 42
=> 3CD + 4CD = 42
=> 7CD = 42
=> CD = 6
Area of Parallelogram ABCD = 6 * 3 = 18 cm²
Area of Parallelogram ABCD = 18 cm²
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