Question

the area of a parallelogram with base 20 cm is 240cm ^2 find its height​

Answer 1

Given:

• Base of parallelogram is 20cm
• Area of parallelogram is 240cm²

To find :

• Height of parallelogram

Solution:

We have base of parallelogram (20cm) and area of parallelogram (240cm²).

We know that:

• $\large{\boxed{\sf{Area\:of\: parallelogram\:=\: base×height}}}$

Put value in formula:

Area of parallelogram = base × height

→ 240 = 20 × height

→ height = 240/20

→ height = 24/2

→ height = 12

Therefore,

• Height of parallelogram is 12cm

Check/Know more about parallelogram :-

• Parallelogram is a quadrilateral which have two parallel sides
• Opposite sides and angles of parallelogram are equal in length and measures respectively.
• Area of parallelogram = base × height
• Perimeter of parallelogram = sum of sides

Answer 2

☯ Area of parallelogram is 240cm².

☯ Base is 20cm.

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$\underline{\bigstar\:\boldsymbol{According \;to \;the\: given \;Question\; :}}$

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• ${\blue{\mathfrak{Area\:of\:Parallelogram\:=\:Base\:\times\:height}}}$

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Therefore,

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{240\:=\:20\:\times\:h}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{h\:=\:{\dfrac{240}{20}}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{h\:=\:\cancel{\dfrac{240}{20}}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\:{\underline{\boxed{\frak{\pink{h\:=\:12}}}}}\:\bigstar$

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$\:\therefore\:{\underline{\sf{Hence,\:the\:height\:is\:{\textsf{\textbf{12\:cm}}}}}}.$

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