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Question Number 162183 by Tawa11 last updated on 27/Dec/21

Answered by mr W last updated on 27/Dec/21

say point A is (k,h), then B is (k+h,h). h is the side length of the square. h=(k/e^k ) h=((k+h)/e^(k+h) ) (k/e^k )=((k+h)/e^(k+h) )=((k+h)/(e^k e^h )) k=((k+h)/e^h ) (e^h −1)k=h ⇒k=(h/(e^h −1)) h=(k/e^k )=(h/((e^h −1)e^(h/(e^h −1)) )) 1=(1/((e^h −1)e^(h/(e^h −1)) )) e^h −1=(1/e^(h/(e^h −1)) )=e^(−(h/(e^h −1))) ln (e^h −1)=−(h/(e^h −1)) ln (e^h −1)^(e^h −1) =−h (e^h −1)^(e^h −1) =e^(−h) ⇒e^h (e^h −1)^(e^h −1) =1 exact solution is not possible. we get h≈0.3619 area of square =h^2 ≈0.1310

saypointAis(k,h),thenBis(k+h,h).histhesidelengthofthesquare.h=kekh=k+hek+hkek=k+hek+h=k+hekehk=k+heh(eh−1)k=h⇒k=heh−1h=kek=h(eh−1)eheh−11=1(eh−1)eheh−1eh−1=1eheh−1=e−heh−1ln(eh−1)=−heh−1ln(eh−1)eh−1=−h(eh−1)eh−1=e−h⇒eh(eh−1)eh−1=1exactsolutionisnotpossible.wegeth≈0.3619areaofsquare=h2≈0.1310

Commented by Tawa11 last updated on 27/Dec/21

Thanks for your time sir, I really appreciate. God bless you sir.

Thanksforyourtimesir,Ireallyappreciate.Godblessyousir.

Commented by mr W last updated on 27/Dec/21

Commented by mr W last updated on 27/Dec/21

do you have the right answer?

doyouhavetherightanswer?

Commented by Tawa11 last updated on 27/Dec/21

No sir, I am studying your solution. God bless you sir

Nosir,Iamstudyingyoursolution.Godblessyousir

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