Question

A rectangular room is 6 meters longer than it is wide, and its perimeter is 32 meters. Find the dimension of the room.

Answer 1

write the dimensions of the room:

\[l=6w\]\[w=w\]\[P=32\]the equation for perimeter:\[P=2l+2w\]substitute:\[32=2(6w)+2w\]distribute:\[32=12w+2w\]
solve for w

Answer 2

w=2.3

Answer 3

now solve for \[l=6w\]

Answer 4

l=13.8

Answer 5

cool :D

Answer 6

you did it!

Answer 7

thanks.

Answer 8

anytime! :)