Question

The base of parallelogram is twice its height. If it area is 288cm find the base and height of the parallelogram

Answer 1

the answer is in this photo

Answer 2

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

Step-by-step explanation:

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

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