Question

The height of a parallelogram is one third of its base.If the area of the parallelogram is 192cm2,find it's height and base

Answer 1

Answer:

Step-by-step explanation:

Let base=x

Then height=1/3*x

Area of parallelogram=base *height

192=x*1/3x

192=1/3x2

X2=192*3

X2=576

X=24

Base=24

Height=8

Answer 2

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

Step-by-step explanation:

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

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