Asked by Liv
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?
Answers
Answered by
GPT 3.5
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.
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.