Question

In a parallelogtam the base and height are in the ratio 5 :2if the area of the parellelogram os 360m find its base and height

Answer 1

Refer to given attachment

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Answer 2

$\huge\underline\Mathcal\Blue {Solution}$

Given :

The ratio of base and height of a parallelogram is 5:2 .

Area of parallelogram = 360 m^2

Let the base of parallelogram be 5x and height be 2x .

Now ,

As we know that ,

Area of parallelogram

$=base \times height$

$= 360 = 5x \times 2x$

$= 360 = 10 {x}^{2}$

$= \frac{360}{10} = {x}^{2}$

$= {x}^{2} = 36$

$= x = 6$

Then ,

Base = 5x

= 5 × 6

= 30 m

Height = 2x

= 2 × 6

= 12 m

Hence , the base of the parallelogram is 30 m and height is 12 m .