Question

The height of parrallogram is one third of it base. If the area of parrallogram is 108cm2 find it base and height

Answer 1

Given :

• The height of parrallogram is one third of it base.

• The area of parrallogram is 108 cm².

To find :

• it's base and height =?

Step-by-step explanation :

Let, the base of the parallelogram be, x cm.

Then, the height of the parallelogram be, x/3 cm.

As We know that,

Area of parallelogram = Base × Height

Substituting the values in the above formula, we get,

➮ 108 = x × x/3

➮ 108 = x²/3

➮ x² = 108 × 3

➮ x² = 324

➮ x = 18.

Therefore, We got the value of, x = 18.

Hence,

The base of the parallelogram, x = 18 cm.

Then, the height of the parallelogram, x/3 = 18/3 = 6 cm.

Answer 2

✯✯ QUESTION ✯✯

The height of parrallogram is one third of it base. If the area of parrallogram is 108cm2 find it base and height..

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✰✰ ANSWER ✰✰

$\longmapsto\tt{Let\:the\:base\:of\:parallelogram=y}$

➮As Given that height of parallelogram is ⅓ of its Base.So,

$\longmapsto\tt{Base\:of\:Parallelogram=\dfrac{y}{3}}$

$\longmapsto\tt{Area\:of\:parallelogram={108cm}^{2}}$

➥Using Formula : -

$\longmapsto\tt{\small{\boxed{\bold{\bold{\red{\sf{Area\:of\:parallelogram=base\times{height}}}}}}}}$

➥Putting Values : -

$\longmapsto\tt{108=x\times\dfrac{y}^{3}}$

$\longmapsto\tt{108=\dfrac{{y}^{2}}{3}}$

$\longmapsto\tt{108\times{3}={y}^{2}}$

$\longmapsto\tt{324={y}^{2}}$

$\red\longmapsto\:\large\underline{\boxed{\bf\green{y}\orange{=}\purple{18}}}$

☛So,The Value of y is 18..

➥Now ,

$\longmapsto\tt{Base\:of\:parallelogram=x}$

$\longmapsto\tt\bold{18cm}$

$\longmapsto\tt{Height\:of\:parallelogram=\dfrac{x}{3}}$

$\longmapsto\tt{\cancel\dfrac{18}{3}}$

$\longmapsto\tt\bold{6cm}$