Question

the height of the parallelogram is half of its base find the area of parallelogram is 200 cm Sq find the height and length​

Answer 1

Answer:

let the base be x cm then it's height will be x/2 cm

now, are of ||gm = base× height = x × x/2 = 200

= > x² = 400

= > x = √400 = 20 cm

so, base = 20cm

and height = 20/2 = 10cm.

Answer 2

Let the base of a parallelogram be "$x$".

and, the height of parallelogram is half of base.i.e., "$\frac{1}{2}x$".

Given :

The Area of parallelogram = $200 \ cm^2$

To Find :

The height of parallelogram = ?

The base of parallelogram = ?

Solution :

As we know,

The Area of parallelogram = base × height

Now,

On putting the assumed and given values in the above formula, we get

$200=x\times \frac{1}{2}x\\ \\400=x^2\\\\x=\sqrt{400}\\ \\x=20$

So,

The base of parallelogram = $20 \ cm$

The height of parallelogram = $\frac{1}{2}\times 20=10 \ cm$