square and rectangle
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Let squares side be a and rectangular's side 2x and 3x (because their ratio is 2:3). Their perimeters are equal 4a=10x => a^2=(25x^2)/4
The area of the rectangular 2x*3x=6x^2
The area of the circle a*a=a^2
Ratio =(6x^2)/a^2. Substitute instead a^2=(25x^2)/4. Then 24:25
The area of the rectangular 2x*3x=6x^2
The area of the circle a*a=a^2
Ratio =(6x^2)/a^2. Substitute instead a^2=(25x^2)/4. Then 24:25
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bomond wrote:Let squares side be a and rectangular's side 2x and 3x (because their ratio is 2:3). Their perimeters are equal 4a=10x => a^2=(25x^2)/4
The area of the rectangular 2x*3x=6x^2
The area of the circle a*a=a^2
Ratio =(6x^2)/a^2. Substitute instead a^2=(25x^2)/4. Then 24:25
WOW - You don't have any idea how long I mulled over this during and after the test all while thinking S is a circle. you should have seen some of the formulae I came up with. It was a wild pi party
Anyway - thank you. Your approach makes perfect sense.
By the way - it's actually quite funny. You have a typo talking about circles in your solution as well. There must be something about this question
I'm sorry. Yes you are right. By the area of the circle I mean square.LSB wrote: By the way - it's actually quite funny. You have a typo talking about circles in your solution as well. There must be something about this question