How To Find The Side Length Of A Square

NCERT Solutions Course viii Mathematics Solutions for Do 6.4 in Chapter 6 - Squares and Foursquare Roots

Q6) Find the length of the side of a square whose area is $441m^2$ ?

Answer:

Solution:

Let the length of the side of a square be x meter.

Area of foursquare = $\left(side\correct)^2=x^ii$

Co-ordinate to question,

$ten^2=441$

$\Rightarrow x=\sqrt{441}=\sqrt{three\times3\times7\times7}$

x = 3 x 7

10 = 21 thousand

Hence, the length of side of a square is 21 m.

Video transcript

hullo students welcome for this new video in the video we are going to explore the question which says Please find the length of the side of the foursquare whose area is 441-meter square okay and so in that location is a foursquare that has the area 441 so let'due south accept this, for example, we have a square over here that has a side ten okay and in the square nosotros know that all sides are equal and let'south call one of the sides every bit ten so the area of the square will be given as a side foursquare side into side or side square now in this case, nosotros have taken the side equally ten and so we'll telephone call it 10 square now the expanse of the square is given to us 441 right then the equation is ten square is equal to 441 we need to notice out ten Please notice the length of the side now over here we can come across it'due south ten square at present to notice out 10 nosotros'll have to shift to this exponent and nosotros know that if It's square and it goes on to the other. side of the equation y'all must find out the square root of the number so the number is 441 and to detect out the length of the side i have to notice out the square root of 441 and then let's exercise a prime factorization method here to discover out the square root of 441 feel gratis to pause the video utilise the prime number factorization method and come back and see. whether y'all got it right, okay information technology'south a quick one three of them are fours are and sevens are right three fours are twelve, iii nines are 27 seven sevens are seven ones are seven okay and if you pause the video you came back, and yous got this right expert job and then let'due south take all the factors and put them nether the foursquare root sign three into iii into seven into seven now with square roots, nosotros know we make Grouping of two right then iii and 3 in one group 7 and vii another group takes each number from each of the groups and multiply them right so when you have each of the number from each of the groups you do non have to write the square root sign Since you are not taking it out of the Squared sign right so if you have information technology it will exist three into 7 x is equal to 21 very very very important is your unit practise not forget your unit if it's given to you profoundly, if not just mention unit Okay, in this example, information technology'southward mentioned equally meter and so each side of the square with surface area 441 meter square is 21 meters That's all in this video, I'll see you in another video feel free to like to share and comment thank you and then much.

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