An ant stands at one vertex of a rectangular sheet of paper. The ant then proceededs to walk all the way around the perimeter of the paper. The dimensions of the sheet of paper are 3 5/8 inches by 2 7/8 inches. How many inches does the ant travel? Show your work.
To find the total distance that the ant travels, we need to calculate the perimeter of the rectangular sheet of paper.
The length of the rectangular sheet of paper is 3 5/8 = 3 + 5/8 = 3 40/8 = 3 5 inches.
The width of the rectangular sheet of paper is 2 7/8 = 2 + 7/8 = 2 28/8 = 2 3.5 inches.
The perimeter of the rectangular sheet of paper is calculated by adding the lengths of all four sides:
Perimeter = 2(length + width) = 2(3.5 + 3.5) = 2(7) = 14 inches.
Therefore, the ant travels 14 inches when it walks around the perimeter of the rectangular sheet of paper.
so the answer is 14 inches
Yes, the answer is 14 inches.
To find the total distance the ant travels, we need to calculate the perimeter of the rectangular sheet of paper.
The length of the paper is 3 5/8 inches, which can be converted to an improper fraction as:
3 * 8 + 5 = 29/8 inches.
The width of the paper is 2 7/8 inches, which can be converted to an improper fraction as:
2 * 8 + 7 = 23/8 inches.
Now, we can calculate the perimeter of the paper by adding the length and width:
Perimeter = 2 * (Length + Width)
= 2 * (29/8 + 23/8)
= 2 * (52/8)
= 2 * 6.5
= 13 inches.
Therefore, the ant travels a total of 13 inches around the perimeter of the paper.
To find the distance the ant traveled around the perimeter of the rectangular sheet of paper, we need to calculate the sum of all the sides.
First, we convert the mixed numbers into improper fractions:
The width of the paper is 3 5/8 inches. To convert this to an improper fraction, we multiply the whole number (3) by the denominator (8) and add the numerator (5). This gives us (3 * 8 + 5) / 8 = 24/8 + 5/8 = 29/8 inches.
The length of the paper is 2 7/8 inches. Following the same steps, we get (2 * 8 + 7) / 8 = 16/8 + 7/8 = 23/8 inches.
Now, we calculate the perimeter of the paper by adding the lengths of all sides:
Perimeter = 2(length + width)
Perimeter = 2(23/8 + 29/8)
Perimeter = 2(52/8)
Perimeter = 104/8 inches
Simplifying the fraction, we have:
Perimeter = 13 inches
Therefore, the ant traveled 13 inches around the perimeter of the rectangular sheet of paper.