Answer:
The length of the parallelogram is 20 meters
The width of the parallelogram is 12 meters.
Step-by-step explanation:
Let's call x the length of the parallelogram and y the width of the parallelogram.
If the perimeter of the parallelogram is 64 meters, we can write the following equation:
2x + 2y = 64
Because the perimeter is 2 times the length added to 2 times the width.
On the other hand, the width of the parallelogram is 8 meters less than its length, so:
y = x - 8
Now, we can substitute y = x - 8 on the first equation as:
2x + 2y = 64
2x + 2(x - 8) = 64
Solving for x, we get;
2x + 2x + 2(-8) = 64
4x - 16 = 64
4x - 16 + 16 = 64 + 16
4x = 80
4x/4 = 80/4
x = 20
So, y is equal to:
y = x - 8
y = 20 - 8
y = 12
Therefore, the length of the parallelogram is 20 meters and the width is 12 meters.