Two sides of a rectangular fence are 5 and 5/8 feet long and the other two sides are 6 and 1/4 feet long what is the perimeter,?
P = 2L + 2W
P = (2 * 5.625) + (2 * 6.25)
P = ________ feet
To find the perimeter of a rectangle, you can add up the lengths of all four sides. In this case, we have two sides measuring 5 feet and 5/8 feet, and two sides measuring 6 feet and 1/4 feet.
To add these lengths, it's easiest to convert the fractions to a common denominator. 8 is already the denominator of 5/8, so we'll convert 1/4 to have a denominator of 8.
5/8 + 1/4 = 5/8 + 2/8 = 7/8
Now, we can add the side lengths:
5 feet + 7/8 feet + 6 feet + 7/8 feet = 11 feet + 7/8 feet + 6 feet + 7/8 feet = 17 feet + 14/8 feet
Next, we simplify the sum:
17 feet + 7/8 feet + 14/8 feet = 17 feet + (7 + 14)/8 feet = 17 feet + 21/8 feet
Finally, we convert the improper fraction to a mixed number:
17 feet + 2 5/8 feet = 19 5/8 feet
Therefore, the perimeter of the rectangular fence is 19 5/8 feet.