Question

10. The perimeter of a parallelogram is 72 meters. The width of the

parallelogram is 4 meters less than its length. Find the length and the
width of the parallelogram.

Answer 1

Length is 20 meters and Width is 16 meters

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 = 72

or

2x + 2y = 72

Also, width is 4 less than length, thus we can write:

y = x - 4

Now, we replace the 1st equation with the 2nd equation and solve for x first. Shown below:

2x + 2y = 72

2x + 2(x - 4) = 72

2x + 2x - 8 = 72

4x = 72 + 8

4x = 80

x = 80/4 = 20

And now y:

y = x - 4

y = 20 - 4

y = 16

Thus, the Length is 20 meters and Width is 16 meters