Ask your own question, for FREE!
Mathematics 6 Online
OpenStudy (anonymous):

. A rectangle has an area of 16 square feet. Its length and width are whole numbers. What is its maximum perimeter?

OpenStudy (anonymous):

(L) x (W) = 16 2L + 2W = P Solve for one of the variables, in this case lets solve for (w) LW = 16 W = 16/L plug that in to the Perimeter Eqauation: 2(L) + 2( 16/L ) = P Now take the derivative of P P = 2L + 32/L P'= 2 + 32( -1/L^2 ) Now set P' to 0, because the derivative is 0 at its Maximums and Minimums 0 = 2 - 32/(L^2) -2 = -32/(L^2) -2(L^2) = -32 L^2 = 16 L = 4 Plug this back in to solve for W W = 16/L W = 16/4 W = 4

OpenStudy (anonymous):

P = 2x + 2y, A = xy =>P = 2x + 2A/x dP/dx = 0 for max. find value of x where that occurs.

OpenStudy (anonymous):

so the maximum perimeter must be 16, and the dimensions are 4 by 4

OpenStudy (anonymous):

@heavenfun13 you should read the code of conduct and help students do the work themselves, not do it for them

OpenStudy (anonymous):

i did

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!
Latest Questions
Countless7Echos: Ah trying out the whole T.V girl drawing :p (I love drawing eyes)
4 hours ago 13 Replies 6 Medals
kaelynw: starting to draw a hand
12 hours ago 17 Replies 2 Medals
Twaylor: Rate it :D (Took 2 days)
4 days ago 7 Replies 0 Medals
XShawtyX: Art, Short Writing Assignment: Imagining Landscapes
50 minutes ago 9 Replies 1 Medal
XShawtyX: Chemistry, Help ud83dude4fud83cudffe
5 days ago 13 Replies 1 Medal
kaelynw: tried a lil smt, the arm is off but i like the other stuff
5 days ago 27 Replies 3 Medals
kaelynw: art igg
5 days ago 14 Replies 1 Medal
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!