10. The perimeter of a parallelogram is 72 meters. The width of theparallelogram is 4 meters less than its length. Find the length and thewidth of the parallelogram.

Answer:Length is 20 meters and Width is 16 metersStep-by-step explanation:A parallelogram is a 4-sided figure with 2 pair of parallel sides.The perimeter is the sum of all 4 sides of the parallelogram.Let the length of parallelogram be x and width be y.The perimeter is 72, thus we can write:x + x + y + y = 72or 2x + 2y = 72Also, width is 4 less than length, thus we can write:y = x - 4Now, we replace the 1st equation with the 2nd equation and solve for x first. Shown below:2x + 2y = 722x + 2(x - 4) = 722x + 2x - 8 = 724x = 72 + 8 4x = 80x = 80/4 = 20And now y:y = x - 4y = 20 - 4y = 16Thus, the Length is 20 meters and Width is 16 meters