Question

The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. cm, then find its
height.​

Answer 1

Given :

Base of a parallelogram is twice its Height .

Area of Parallelogram is 72 cm² .

To Find :

Height of Parallelogram .

Solution :

$\longmapsto\tt{Let\:Height\:be=x}$

As Given that Base of a parallelogram is twice its Height . So ,

$\longmapsto\tt{Base=2x}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Parallelogram=b\times{h}}$

Putting Values :

$\longmapsto\tt{72=2x\times{x}}$

$\longmapsto\tt{72=2{x}^{2}}$

$\longmapsto\tt{\cancel\dfrac{72}{2}={x}^{2}}$

$\longmapsto\tt{36={x}^{2}}$

$\longmapsto\tt{\sqrt{36}=x}$

$\longmapsto\tt\bf{6=x}$

Therefore :

$\longmapsto\tt{Height\:of\:Parallelogram=x}$

$\longmapsto\tt\bf{6\:cm}$

$\longmapsto\tt{Base\:of\:Parallelogram=2(6)}$

$\longmapsto\tt\bf{12\:cm}$

_______________________

VERIFICATION :

$\longmapsto\tt{72=2x\times{x}}$

$\longmapsto\tt{72=2(6)\times{6}}$

$\longmapsto\tt{72=12\times{6}}$

$\longmapsto\tt\bf{72=72}$

HENCE VERIFIED

Answer 2

Answer:

ANSWER

Let the height of the parallelogram be x cm.

Then base =(2x) cm

Area of parllelogram =72 cm

2

2x×x=72cm

⇒2x

2

=72cm⇒x

2

=36cm

x=6cm.

Hence height of parallelogram =6cm.

Step-by-step explanation:

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