Math, asked by harshitarathore0123, 1 year ago

The base of a Parallelogram is twice its height.If it's area is 288cm²,find the base and the height of the Parallelogram​

Answers

Answered by nuhmanaljafri
4

Answer:

Base = 2 x h

Therefore, let Base be 2x and Height be 1x.

Area of parallelogram = b x h = 288 cm^2

2x x x = 2x^2 = 288 cm^2

Therefore, x = Square root of 288/2 = Square root of 144

x = height = 12 cm

2x = base = 2 x 12

Base = 24 cm

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Answered by SerenaBochenek
2

The height of parallelogram is "12 cm" and base is "24 cm".

Step-by-step explanation:

Let \ the \ height \ of \ parallelogram \ be \ "x".\\and, the \ base \ of \ parallelogram \ be \ "2x".\\Area=288 \ cm^2\\\\As \ we \ know,\\\\The \ Area \ of \ Parallelogram,\\A=base\times height\\\\On \ putting \ the \ values \ in \ the \ above \ formula,we \ get\\\\288=2x\times x\\\\288=2x^2\\\\x^2=\frac{288}{2}\\ \\x^2=144\\\\x=\sqrt{144}\\ \\x=12\\\\Now,\\The \ height \ of \ parallelogram =12 \ cm\\The \ base \ of \ parallelogram=24 \ cm

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