Question

A rectangle has area 49 m2. (a) Express the perimeter of the rectangle as a function of the length (L) of one of its side. Part (a) = 2L + 98/L (b) State the domain = ?

Answer 1

domain is L>0

Answer 2

were you supposed to derive a) or just assume it?

Answer 3

yeah i found a)

Answer 4

ok well since it is a rectangle the length has to be positive.

Answer 5

so its 0 to infinity ?

Answer 6

or does it have to be less than 49

Answer 7

no it doesn't have to be less than 49 i don't think. you just must have LW = 49 so at least in theory L could be say 1,000,000 making W \[\frac{49}{1000000}\]

Answer 8

your perimeter in this problem is not fixed. if it was then you would have a restriction on L

Answer 9

so then its (0, infinity)

Answer 10

that is what i would say, yes.

Answer 11

THANKS

Answer 12

welcome