Question

The altitude of a parallelogram is one third of the base is the area is to 43 CM square find its altitude

Answer 1

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Here is your answer

Let the base be x

So,

Altitude
$= \frac{1}{3} x$

As we know the formula,

Area of parallelogram = $Altitude \times Base$

$43 = \frac{x}{3} \times x \\ \\ 43 = \frac{ {x}^{2} }{3} \\ \\ 43 \times 3 = {x}^{2} \\ \\ {x}^{2} = 129 \\ \\ x = \sqrt{129} \\ x = 11.35 \: cm$
Therefore, Base = 11.35 cm

And, Altitude

$= \frac{11.35}{3} \\ \\ = 3.78 \: cm$

Answer 2

Hi friends
Here is your answer
Let base is x
Altitude =x/3

Area = Base × Altitude
$43 = \frac{x}{3} \times x \\ {x}^{2} = 43 \times 3 \\ {x}^{2} = 129 \\ x = \sqrt{129} \\ x = 11.35 \: cm$

So Base is 11.35 cm
Altitude = 11.35/3
= 3.78 cm

Hope it helps you

@ MSD