Question

Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible. (If both values are the same number, enter it into both blanks.)

Answer 1

Is there like a diagram of sorts?

Answer 2

No. The question was the only thing given.

Answer 3

Hm. Give me a moment.

Answer 4

I can't find anything..

Answer 5

Ok. Thanks for trying!

Answer 6

perimeter = 2x+2y
Area = xy = 343 --> y = 343/x

--> p(x) = 2x + 2(343/x)

to minimize, set derivative equal to 0

--> 2 - 686/x^2 = 0

--> x^2 = 343

x = sqrt(343)