Answer
The length of the parallelogram is 20 meters and the width of the parallelogram is 16 meters.
Step-by-step 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!!!
