Question

The base and height of a parellelogram are in the ratio 1:3. Its qarea is 12 sq cm. Find the base and height

Answer 1

Given :

• Base and Height of parallelogram are in the ratio 1:3.
• Area of Parallelogram is 12cm².

To Find :

• Base and Height of Parallelogram.

Solution :

$\longmapsto\tt{Let\:base\:be=1x}$

$\longmapsto\tt{Let\:height\:be=3x}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Parallelogram=base\times{height}}$

Putting Values :

$\longmapsto\tt{12=1x\times{3x}}$

$\longmapsto\tt{12=3{x}^{2}}$

$\longmapsto\tt{\cancel\dfrac{12}{3}={x}^{2}}$

$\longmapsto\tt{4={x}^{2}}$

$\longmapsto\tt{\sqrt{4}=x}$

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

Value of x is 2..

Therefore :

$\longmapsto\tt{Base\:of\:Parallelogram=1(2)}$

$\longmapsto\tt\bf{2cm}$

$\longmapsto\tt{Height\:of\:Parallelogram=3(2)}$

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