Math, asked by harikrishnafab9210, 1 year ago

Height parallelogram is1/3of it's base . If the area of the parallelogram is 192cm2 ,find its height, base

Answers

Answered by adityaroy783493
0
area of parallelogram = b×h
192 = x×x/3
192×3 = x×x
576 = x×x
√576 = X
24 = X

parrallelogram height = 1/3 = 24/3 = 8cm
base of parrallelogram = 24 cm
Answered by SerenaBochenek
0

The base of a parallelogram is "24 cm" and height is "8 cm".

Step-by-step explanation:

Let \ the \ base \ of \ parallelogram \ be \ "x".\\The \ height \ be \ "\frac{1}{3}x".\\Area=192 \ cm^2\\\\As \ we \ know,\\\\The \ Area \ of \ parallelogram,\\A=base\times height\\\\192=x\times \frac{1}{3}x\\ \\576=x^2\\\\x=\sqrt{576}\\ \\x=24\\\\Now,\\Base=24 \ cm\\Height=\frac{1}{3}\times 24=8 \ cm

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