Question

the area of a parallelogram is 392 m square if its altitude is twice the corresponding base determine the base and height

Answer 1

Let, base be x.
Thn, alt. = height = 2x


Ar(Parallelogram) = b x h
392 = (x) (2x)
196 = x²
x = 14

Base = x = 14
Height = 2x =28

Answer 2

Hey!!!!

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let the base of the parallelogram be x and altitude (height) be y.

Then ATQ,

=> y = 2x -------(1)

=> Area = 392 cm²

We know Area = altitude x base

=> xy = 392

Using (1) in above equation

=> x(2x) = 392

=> 2x² = 392

=> x² = 196

=> x = √196

=> x = 14

Thus y = 28

Thus the height of the parallelogram is 28cm and base is 14cm

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Hope this helps ✌️

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