Question

Find the height of paralellogram where base is 20 cm and Area of paralellogram is 246 cm²​

Answer 1

$\large\sf\underline{Given\::}$

• Base of the parallelogram = 20 cm.

• Area of the parallelogram = 246 cm².

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$\large\sf\underline{To\:find\::}$

• Height of the parallelogram

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$\large\sf\underline{How\:do\:we\:solve\:?}$

Hey mate let's observe the question properly. We are given base and area of a parallelogram. We do know that Area of a parallelogram = base × height. So it's simple we just need to equate the area formula and the given value of area. Doing so we will get our required result. Let's proceed !

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$\large\sf\underline{Solution\::}$

We do know that :

◍ $\large{\mathfrak{Area\:of\:parallelogram\:= b \times h}}$

where :

• b stands for ${\sf{{\pink{breadth}}}}$ .

• h stands for ${\sf{{\pink{height}}}}$ .

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Let's equate the area formula and the given value of area :

$\sf\implies\:b \times h = 246$

$\sf\implies\:20 \times h = 246$

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• Transposing 20 to the other side

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$\sf\implies\:h = \cancel{\frac{246}{20}}$

$\sf\implies\:h = \frac{123}{10}$

$\small\fbox\red{⟹\:h\:=\:12.3\:cm}$ ★

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$\large\sf\underline{Verifying\::}$

According to the question :

Area of parallelogram = 246 cm².

$\sf\to\:b \times h = 246$

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• Substituting the values of b and h

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$\sf\to\:20 \times 12.3= 246$

$\sf\to\:246 = 246$

$\small\fbox\blue{Hence\:Verified}$

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$\dag\:\underline{\sf So\:the\:required\:value\:for\:height\:is\:12.3\:cm}$

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!! Hope it helps !!