Question

the base of the parallelogram is twice its height if the area of parallelogram is 242cm

find the base and height ​

Answer 1

let base is 2x and height is x.

area of parallelogram = base x height.

base = 22

Height = 11

Answer 2

The height of parallelogram is "11 cm" and base is "22 cm".

Step-by-step explanation:

$Let \ the \ height \ of \ parallelogram \ be \ "x".\\And \ the \ base \ be \ "2x".\\Area=242 \ cm^2\\\\As \ we \ know,\\\\The \ Area \ of \ parallelogram,\\A=base\times height\\\\On \ putting \ the \ values \ in \ the \ above \ formula,we \ get\\\\242=2x\times x\\\\242=2x^2\\\\x^2=\frac{242}{2}\\ \\x^2=121\\\\x=\sqrt{121}\\ \\x=11\\\\Now,\\Height \ of \ parallelogram=11 \ cm\\Base \ of \ parallelogram=2\times 11=22 \ cm$

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