Aunt stands at one vertex of a rectangle, a sheet of paper for Aunt then proceeds to walk all the way around the perimeter of the paper dimensions of the sheet of paper are 3 5/8” x 2 7/8” how many inches does Aunt travel show your work?

1 answer

To find the perimeter of the rectangular sheet of paper, we need to add up the lengths of all four sides.

The length of one side is 3 5/8 inches.

The width of the adjacent side is 2 7/8 inches.

To add these lengths together, we need to find a common denominator. The least common multiple of 8 and 7 is 56.

Converting the fractions to have a denominator of 56:

3 5/8 = (3 * 8 + 5)/8 = 29/8

2 7/8 = (2 * 8 + 7)/8 = 23/8

Now we can add the lengths:

29/8 + 23/8 = (29 + 23)/8 = 52/8 = 6 4/8 = 6 1/2

So, one side of the rectangle is 6 1/2 inches and there are two sides with this length.

Therefore, the total length Aunt travels is 6 1/2 + 6 1/2 inches = 13 inches.