Answer:
Length 24; Width: 15
Step-by-step explanation:
Lets set up a system of equations to solve:
The perimeter is 78 so :
2l + 2w = 78 ; l = length and w = width
The length is 6 shorter than twice the width so:
l = 2w - 6
We can plug in l = 2w - 6 for l in the first equation:
2(2w - 6) + 2w = 78
4w - 12 + 2w = 78
6w = 90
w = 15
Now we can plug the width back into the second equation to solve for l
l = 2w - 6
l = 2(15) - 6
l = 24
Length 24; Width: 15