Question

Maximum area of rectangles

Answer 1

have u tried it yet?

Answer 2

show us what u have done, then we will discuss about it :)

Answer 3

the question is abit vague to me

Answer 4

are u in calculus?

Answer 5

yes haha but im very bad at it

Answer 6

ok, this is an Optimization problem, you have to maximize area with knowing that perimeter is fixed and equal to \(P\)

Answer 7

let's say sides of rectangle are \(a\) and \(b\), according to problem\[2(a+b)=P\]so what will be the area in terms of \(a\) and \(b\) ???? where are u @ememlove :))

Answer 8

A=ab?

Answer 9

can u state the problem in mathematical way? you maximizing what subject to what?

Answer 10

omygosh how do i answer that, i think we have to change the dimensons in a way that the perimeter is always the same? bt the area is big bt how do i represent that

Answer 11

isit a=b so A=a^2 or A=b^2

Answer 12

yep but do u understand why? @ememlove ?

Answer 13

in the above drawing, assume you have 20m of fencing, and you're looking at different ways you can set up the fence and how it will change the area

Answer 14

\[A=\frac{ Pw-2w^2 }{ l }\] ?