Question

The base of a parallelogram is twice its height. If the area of the parallelogram is is 288cm^2, finds its height and base​

Answer 1

Answer:

Base = 24 cm

Height = 12 cm

Step-by-step explanation:

Base of the parallelogram = 2x

Height of the parallelogram = x

Area of the parallelogram = Base * Height

288 = 2x * x

288 = 2x^2

144 = x^2

x = 12

Base = 2 * 12 = 24 cm

Height = 12 cm

Answer 2

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

Step-by-step explanation:

$Let \ the \ height \ of \ parallelogram \ be \ "x".\\and,the \ base \ be \ "2x".\\\\Area =288 \ cm^2\\\\The \ Area \ of \ parallelogram,\\A=base\times height\\\\288=2x\times x\\\\288=2x^2\\\\x^2=\frac{288}{2}\\\\x^2=144\\\\x=\sqrt{144}\\ \\x=12\\\\Height=x=12 \ cm\\Base=2x=2\times 12=24 \ cm$

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