The perimeter of a rectangle is given by P = 2W + 2L where W is the width and L is the length. The length of a rectangle is 3 more than twice its width. The perimeter of the rectangle is 66 meters. What is the length and width of the rectangle?

Question

The perimeter of a rectangle is given by P = 2W + 2L where W is the width and L is the length.  The length of a rectangle is 3 more than twice its width.  The perimeter of the rectangle is 66 meters.  What is the length and width of the rectangle?

anonymous · Answer

I need help

vocaloid · Answer

hint:

"The length of a rectangle is 3 more than twice its width."

means that L = 2W + 3

know where to go from there?

anonymous · Answer

no still

vocaloid · Answer

ok, L = 2W + 3 means we can replace "L" with "2W + 3" wherever L shows up

anonymous · Answer

still confusing

vocaloid · Answer

so we go from 

P = 2W + 2L

to 

P = 2W + 2(2W+3)

and solve for W

anonymous · Answer

P= 2W+4W+6
P=6w+6

vocaloid · Answer

good, and we know that P = 66

so 

66 = 6W + 6

what does W equal?

anonymous · Answer

66=6w+6

-6       -6

60/6=6w/6

10=w

vocaloid · Answer

good, so that means W = 10, which is the width

to find length, we go back to our other equation

L = 2W + 3

if W = 10, what is L?

anonymous · Answer

L=2(10) + 3
L=20+3
L=23

vocaloid · Answer

good, so width = 10 and length = 23

and that's all