Answer
The length of the parallelogram is 20 meters and the width of the parallelogram is 16 meters.
Explanation
The perimeter of the parallelogram is given as 72 meters.
The width of the parallelogram is 4 meters less than its length.
Let the length of the parallelogram be L.
Let the width of the parallelogram be W.
Note that a parallelogram has 4 sides with each of the opposite sides being equal. So, the parallelogram in question has 2 sides named length and 2 sides called its width.
Also note that the perimeter of a figure is the sum of all its exterior sides.
So, for our parallelogram,
L + L + W + W = 72
2L + 2W = 72 .... equation 1
Recall that,
The width of the parallelogram is 4 meters less than its length.
So,
W = (L - 4) ..... equation 2
We can then substitute for W in equation 1.
2L + 2W = 72
W = L - 4
2L + 2(L - 4) = 72
2L + 2L - 8 = 72
4L - 8 = 72
Add 8 to both sides
4L - 8 + 8 = 72 + 8
4L = 80
Divide both sides by 4
(4L/4) = (80/4)
L = 20 meters.
Recall
W = L - 4
W = 20 - 4 = 16 meters.
Hence, the length of the parallelogram is 20 meters and the width of the parallelogram is 16 meters.
Hope this Helps!!!