Math, asked by kvnmurty, 1 year ago

Find the ratio of area of red square to the area of bigger square.

Assume the side of bigger square to be a.

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Answers

Answered by Arceus11
5
Answer in the pic above.
 \frac{3-2\sqrt{2}}{4} should be the right answer.
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kvnmurty: Steps are ok. but expanded (sqrt2 -1)^2 wrongly
kvnmurty: thanks
kvnmurty: simpler procedure is :
Arceus11: I'll correct it
kvnmurty: a = 4 r... a = side. r = radius
kvnmurty: side of red square = b.. diagonal = sqrt2 a = 4 r + 2 b..
Arceus11: that would do
kvnmurty: b = (sqrt2 -1)a/2. simple
Answered by Anonymous
21
ANSWER.


 \frac{ \: area \: of \: smaller \: square }{area \: of \: larger \: square}


 =   \frac{ ({ \sqrt{2 } - 1) }^{2} }{4}


FORMULA USED.




The Pythagorean Theorem.




SOLUTION.

Kindly look in attachment.






Attachments:

kvnmurty: thanks for detailed answer
kvnmurty: Good
kvnmurty: neha. . it could be done in a simpler way perhaps in smaller number of steps
kvnmurty: Please see the comments on the previous answer..
Anonymous: sir i will discuss it in inbox
Anonymous: so plz inbox
Anonymous: me
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