Question

The area of a square is 324cm². What is the measure of each side of the square?​

Answer 1

Given: The area of the square is 324cm².

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Need to find: Measure of side of the square.

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$\underline{\bf{\dag}\frak{\;As\;we\;know\;that\;:}}$

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$\star\;\boxed{\pink{\sf{Area\;_{(square)}=(Side\times Side)}}}$

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where,

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• Area of the square is given that is 324cm² and we have to find the measure of the sides.

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Therefore,

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$\sf{⇢\;(Side\times Side)=324}\\\\\\\sf{⇢\;(Side)^2=324}\\\\\\\sf{⇢\;Side=\sqrt{324}}\\\\\\⇢\;\underline{\boxed{\purple{\frak{Side=18\;cm}}}}{\;\bigstar}$

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$\therefore\;{\sf{\underline{Hence,\;each\;side\;of\;the\;square\;is\;{\textsf{\textbf{18\;cm}}}.}}}$

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★ V E R I F I C A T I O N :

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• As we know that area of square = side × side, therefore,

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$\sf{↠\;(Side\times Side)=324}\\\\\\\sf{↠\;18\times 18=324}\\\\\\\sf{↠\;324=324}\\\\\\\therefore \:{\textsf{\textbf{\underline{Hence,\;verified!}}}}$

Answer 2

A N S W E R :

• Each side of the square is 18cm.

Given :

• The area of the square is 324cm²

To find :

• Find measure of each side of the square ?

Solution :

• Area of square is found my multiplying the length of two square sides. The square sides are of same length. The square opposite sides are parallel

As we know that,

Formula Used :

★ Area = (Side)²

According to the question,

• Let the side of the square be x cm

=> 324 = x²

=> √324 = x

=> 18cm = x

Hence,

• Each side of the square is 18cm.