Question

The base of a parallelogram is twice its altitude.if the area of parallelogram is392m2,find the base and altitude.how the answer is 14m

Answer 1

Answer:

let altitude be 'x', then base will be 2x

we know, area of parallelogram =  base * height

                                                     392=(x)2x

                                                     392=2x^2

                                                     392/2=x^2

                                                     194=x^2

                                                     sqrt(196)=x

                                                     14=x

so, the altitude is 14m and base is 2x = 28m.

Answer 2

The altitude of parallelogram is "14 m" and base is "28 m".

Step-by-step explanation:

$Let \ the \ altitude(height) \ of \ parallelogram \ be \ "x".\\The \ base \ be \ "2x".\\The \ Area =392 \ m^2\\\\As \ we \ know,\\\\The \ Area \ of \ parallelogram,\\A=base\times height\\\\392=2x\times x\\\\392=2x^2\\\\x^2=196\\\\x=\sqrt{196}\\ \\x=14\\\\Now,\\The \ altitude=14 \ m\\The \ base=2\times 14=28 \ m$

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