Question

A carpenter is building a rectangular room with a fixed perimeter of 340 ft. What dimensions would yield the maximum area? What is the maximum area?

Answer 1

a square area yields the maximum area

Answer 2

?

Answer 3

this means that all the walls of the room have the same length... and the total length of all the sides combined is 340...

You got 4 sides.. so each side should be?

Answer 4

?

Answer 5

85?

Answer 6

yep

Answer 7

You can also solve and show this by using the differential of the area function... But I don't know if this is needed.... would make the whole thing a little more complicated.

Answer 8

?

Answer 9

Ok so thats The length that would yield the maximum area. So now whats The width that would yield the maximum area?

Answer 10

Width and length are similar if you have a square surface

Answer 11

?

Answer 12

so its 85?

Answer 13

yep .. 85 by 85 will yield the largest area

Answer 14

?

Answer 15

ok Now whats The maximum area?

Answer 16

85*85?

Answer 17

?

Answer 18

?

Answer 19

the area of a square.... you should really know how to calculate that... it's just length times width

Answer 20

?

Answer 21

ooooo OK!!! i get it ^_^

Answer 22

?

Answer 23

THX!!!

Answer 24

no worries :)