Question

the height of a parallelogram is one third of its base the area of the parallelogram is 192 cm square find its height and base

Answer 1

area of parallelogram = b × h
192. = x × x/3
x. = 24
Base = 24 cm
Height = 8 cm

Answer 2

Hey friend , Harish here.

Here is your answer:

Let,

$Base = x \ cm$

Then,

$Height = \frac{1x}{3} \ cm$

We know that,

$Area \ of \ parallelogram= Base \times Height$

$192 = x \times \frac{1x}{3}$

$192 = \frac{x^{2}}{3}$

$x^{2} = 192 \times 3$

$x = \sqrt{576}$

$x = 24 cm$

Therefore,  Base = x cm = 24 cm.

                   Height = (x/3) cm = 24/3 = 8 cm 
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