Answer:
w = 5
l = 14
Step-by-step explanation:
We have to use system of equations here.
Let w be the width and l be the length
l=2w+4
w=l(1/2)-4
The equation is going to look like this
l+w+l+2 = 38
2l+2w = 38
Now, I will substitute l with what I said was equal to l above
2(2w+4)+2w = 38
Distribute:
4w+8+2w = 38
Combine like terms
6w+8=38
Same to both sides, subtract 8 on both sides
6w=30
Divide each side by 6
w=5
We know the width is 5, and now using the width, we can find the length, so we do 5*2+4 which is 14. Then we can plug that in:
2w+2l
2(5)+2(14)
10+28=38
Please let me know if you have any questions
