A rectangular sand box has a length of 5 1/3 feet and a width if 3 3/4 feet. What is its perimeter?
P = 2L + 2W
P = (2 * 5.3333) + (2 * 3.75)
To find the perimeter of a rectangular sand box, you need to add up the lengths of all four sides.
Given that the length is 5 1/3 feet and the width is 3 3/4 feet, we need to convert the mixed numbers to improper fractions to perform the addition.
Converting 5 1/3 to an improper fraction:
5 * 3 = 15
15 + 1 = 16
16/3
Converting 3 3/4 to an improper fraction:
3 * 4 = 12
12 + 3 = 15
15/4
Now, let's add the lengths of all four sides:
16/3 + 16/3 + 15/4 + 15/4
To add these fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
16/3 * 4/4 = 64/12
16/3 + 16/3 = 32/3
15/4 * 3/3 = 45/12
Now we have:
32/3 + 32/3 + 45/12 + 45/12
Since the denominators of the last two fractions are already the same, we can add them directly:
32/3 + 32/3 + 45/12 + 45/12 = (32 + 32 + 45 + 45)/12 = 144/12
Simplifying the fraction:
144/12 = 12
Therefore, the perimeter of the rectangular sand box is 12 feet.
To find the perimeter of a rectangle, we need to add up the lengths of all its sides. In this case, the rectangle's length is given as 5 1/3 feet and its width is given as 3 3/4 feet.
To find the perimeter, we need to add the length, width, length, and width together.
First, let's convert the mixed fractions to improper fractions so that the calculations are easier:
Length: 5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3
Width: 3 3/4 = 3 + 3/4 = 12/4 + 3/4 = 15/4
Now we can calculate the perimeter:
Perimeter = Length + Width + Length + Width
= (16/3) + (15/4) + (16/3) + (15/4)
The next step is to find a common denominator to add or subtract fractions. In this case, the denominators 3 and 4 have a common multiple of 12.
So, let's convert the fractions to have a denominator of 12:
Perimeter = (16/3) x (4/4) + (15/4) x (3/3) + (16/3) x (4/4) + (15/4) x (3/3)
= 64/12 + 45/12 + 64/12 + 45/12
= (64 + 45 + 64 + 45)/12
= 218/12
Now, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:
Perimeter = (218/2)/(12/2)
= 109/6
So, the perimeter of the rectangular sand box is 109/6 feet.