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Mathematics 8 Online
OpenStudy (leonardo0430):

final question

OpenStudy (leonardo0430):

@Thatawayz

OpenStudy (thatawayz):

is this a form of pattern?

OpenStudy (leonardo0430):

yes, but i couldnt find any patter within the side lengths thats what i am stuck on

OpenStudy (thatawayz):

ah, i see, give me a moment while i take a look at it

OpenStudy (leonardo0430):

take your time

OpenStudy (vishweshshrimali5):

Can you notice a pattern in the areas of the squares?

OpenStudy (vishweshshrimali5):

See.. 1 = 1^2, 16 = 4^2, 49 = 7^2, 100 = 10^2

OpenStudy (thatawayz):

1, 16, 49, 100 160, 499, 1000

OpenStudy (thatawayz):

perhaps?

OpenStudy (vishweshshrimali5):

What is basically happening is that ... since you know the area of the squares .. you can find out the side...

OpenStudy (vishweshshrimali5):

So, I have the sides as: 1, 4, 7, 10... Notice that this is an AP with a common difference = 3

OpenStudy (thatawayz):

vishwesh, i did not see that, an excellent observation

OpenStudy (vishweshshrimali5):

:) Thanks... Now, can you figure out the side of the next square?

OpenStudy (dinamix):

the way compare the side lenghts i think its diameter @Thatawayz @leonardo0430

OpenStudy (leonardo0430):

so the following shapes area would be 169, side length of 13

OpenStudy (thatawayz):

bingo

OpenStudy (vishweshshrimali5):

Great!!

OpenStudy (thatawayz):

or ding ding dsing

OpenStudy (leonardo0430):

oh ok thank you both @Thatawayz and @vishweshshrimali5 you saved me some stress thanks :)

OpenStudy (vishweshshrimali5):

Glad to be of help :)

OpenStudy (thatawayz):

No problem

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