Hello there!
Your answer is:
Length = 20
Width = 12
Explanation and Work:
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To solve this, we must make a system of equations.
2L + 2W = 64
L = (2W-4)
Now, we must plug (2W-4) into the first equation for l
2(2W-4) + 2w = 64
2 * 2w = 4w
2 * -4 = -8
4w - 8 + 2w = 64
6w - 8 = 64
Now let's solve this
6w - 8 = 64
+8 +8
6w = 72
Now, divide 72 by 6
72/6 = 12
w = 12
Now, we must plug 12 into the second equation into the w.
L = (2W-4)
L = 2 * 12 - 4
L = 24 - 4
L = 20
So, we know that L = 20 and w = 12
That means
Length = 20
Width = 12
Now, let's check this.
(12 * 2) + (20 * 2) = 64
12 * 2 = 24
24 + (20 * 2) = 64
20 * 2 = 40
24 + 40 = 64
24 + 40 = 64
64 = 64
I hope I helped!
~ Fire