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?
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.
To find how many inches Aunt travels, we need to calculate the perimeter of the rectangle formed by the sheet of paper.
The dimensions of the sheet of paper are given as 3 5/8" x 2 7/8".
To add these dimensions, we can convert the fractional parts to decimals.
3 5/8" = 3 + 5/8 = 3 + 0.625 = 3.625"
2 7/8" = 2 + 7/8 = 2 + 0.875 = 2.875"
The formula to calculate the perimeter of a rectangle is 2(length + width).
So, the perimeter of the rectangle formed by the sheet of paper is:
2(3.625 + 2.875) = 2(6.5) = 13"
Therefore, Aunt travels 13 inches around the perimeter of the paper.
To find the total distance Aunt travels, we need to calculate the perimeter of the rectangle formed by the dimensions of the sheet of paper.
The dimensions of the sheet of paper are 3 5/8" x 2 7/8".
To calculate the perimeter of a rectangle, we use the formula: Perimeter = 2 x (Length + Width).
First, let's convert the mixed numbers to improper fractions:
3 5/8" = 29/8"
2 7/8" = 23/8"
Now, substituting the values into the formula, we have:
Perimeter = 2 x (29/8" + 23/8")
Adding the fractions:
Perimeter = 2 x (52/8")
Simplifying the fraction:
Perimeter = 2 x 13/2"
Now, multiply the fractions:
Perimeter = 26/2"
Simplifying again:
Perimeter = 13"
Therefore, Aunt travels a total of 13 inches.