Ask
your own question, for FREE!
Mathematics
14 Online
Of all rectangles with perimeter 10 m, which one has the maximum area?
Still Need Help?
Join the QuestionCove community and study together with friends!
the one that is a square
but how do you get to that?
do you know some calculus?
by symmetry
of course @cwrw238
Still Need Help?
Join the QuestionCove community and study together with friends!
you can call one side \(x\) and the other side \(y\) but you cannot tell \(x\) from \(y\) and so there is no difference between them
okay
or you can call one side \(x\) and the other side \(y\) then you kbnow \[2x+2y=10\] or \[y=5-x\] and maximize \[x(5-x)=5x-x^2\] max is at the vertex, namely \(-\frac{b}{2a}=2.5\)
but really it is more obvious than that you have a rectangle largest area is a square by symmetry
oh I see. Thanks for that. I guess that's what i really needed was to just to see it for myself.
Still Need Help?
Join the QuestionCove community and study together with friends!
yw
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
Ferrari:
I Have Returned to Writing Music (by me) so if you don't know, I used to write songs on here and post them, some of them were lowkey corny though.
kaelynw:
tried a lil smt, the arm is off but i like the other stuff
Countless7Echos:
whaa this looks so silly, nothing is funnier then looking at how I draw my hands
Countless7Echos:
I don't know just no sketch doodle day :p finished a video already so I'm pretty
1 minute ago
34 Replies
2 Medals
15 minutes ago
10 Replies
2 Medals
8 hours ago
8 Replies
0 Medals
1 day ago
9 Replies
2 Medals