Question

in the figure abcd is a parallelogram whose perimeter is 21 cm find the area of the parallelogram

Answer 1

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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