Question

2. The area of a parallelogram is 3/2 ares. Its base is 20 m. Find its height. (1 are = 100 m)​

Answer 1

Note

Before starting the question, note that 1 are = 100 m² and not 100 m respectively.

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Question

The area of a parallelogram is 3/2 ares. Its base is 20 m. Find its height. (1 are = 100 m²)

Solution

Here, we are given with the area of parallelogram in terms of 'ares' i.e 3/2 ares also , it is mention in the question that 1 are = 100 m²

Area of Parallelogram = 3/2 ares

where , 1 are = 100 m²

So , Area of Parallelogram in terms of m² will be

$\sf Area \: of \: Parallelogram = \dfrac{3}{2} \times 100$

$:↦\rm Area \: of \: Parallelogram = \dfrac{3}{ \cancel2} \times \cancel{100}\\:↦ \sf Area \: of \: Parallelogram = 3 \times 50 \\ \sf :↦ Area \: of \: Parallelogram = \red{150 \: {m}^{2} }$

Now , we got Area of Parallelogram = 150 m²

Here , in question we have to calculate height of Parallelogram.

Formula for Area of Parallelogram :-

Area of Parallelogram = Base × Height

Now , see we have both area and Base so let's make a subject formula for Height

$\sf Height = \dfrac{Area \: of \: Parallelogram}{Base}$

$\sf \: Height = \dfrac{15 \cancel{0}}{2 \cancel{0}} \\ \sf= \red{ 7.5 \: m}$

So , here we got the respective height of Parallelogram = 7.5 m

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Additional Information

Ares is a metric unit for measurement whose value is equal to 100 m² . 1 hectare = 100 ares this unit is used commonly in the measurement of land .

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