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

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

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.

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

Assume the side of bigger square to be a.