Question

The altitude of a parallelogram is 56 m and its area is 6384 cm'. Find the base of the parallelogram.​

Answer 1

Given : The altitude of a parallelogram is 56 and its Area is 6384 cm²

To Find : Find the Base of parallelogram

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SolutioN : To find the Base of parallelogram we need to apply the formula Area = Base × Height .Let's Solve :

$\bigstar$ Formula Used :

• ${\underline{\boxed{\sf{ Area{\small_{(Parallelogram)}} = Base \times Height }}}}$

$\bigstar$ Calculating the Base :

$\qquad {\longmapsto{\qquad{\sf{ Area = Base \times Height }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 6384 = Base \times 56 }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \dfrac{6384}{56} = Base }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \cancel\dfrac{6384}{56} = Base }}}} \\ \\ \\ \ {\qquad \; \; \; {\dashrightarrow{\underline{\boxed{\pmb{\sf{ Base = 114 \; m }}}}}}} \; {\purple{\bigstar}}$

$\therefore \; \;$ Height of the Parallelogram is 114 m .

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Answer 2

$\dag \: \sf{ \underline\pink{ Concept :-}}$

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In this question, we will use the concept of area of a parallelogram, which gives us the formula of parallelogram, it states that :-

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$\qquad \bull \: \underline{\boxed{ \sf \purple{Area_{(Parallelogram )} ~=Base~ \times ~Height }}}$

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Using this formula, we will let the base as "x", and we will equate it to get the required answer.

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$\dag \: \underline \red{\sf Given ~Information ~ :-}$

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• Area of parallelogram = 6384 cm²
• Altitude / Height = 56 m = 5600

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$\dag~ \sf \underline\blue{{Solution~ :-}}$

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Now, we will solve this,

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$\\ \qquad \sf: \longrightarrow 6384 = x \times 5600$

$\\ \qquad ~~~\sf : \longrightarrow x = \dfrac{6384}{5600}$

$\\ \qquad \qquad \sf : \longrightarrow x = 1.14 \: cm$

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Therefore, the base of the parallelogram is $\star\underline{ \boxed{ \green{\mathfrak{1.14 \: cm}}}} \star$.

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