2W + 2L = Perimeter
2(3 1/3 + 2 2/3) + 2(8 + 2 2/3) = ?
2(3 1/3 + 2 2/3) + 2(8 + 2 2/3) = ?
To find the outside perimeter of the deck, we need to add up all the sides. We start by calculating the length and width of the deck.
Length of the deck = Length of the pool + 2 * Width of the deck
Width of the deck = Width of the pool + 2 * Width of the deck
Length of the deck = 3 1/3 yards + 2 * 2 2/3 yards
= 3 1/3 yards + 5 1/3 yards
= 8 yards
Width of the deck = 8 yards + 2 * 2 2/3 yards
= 8 yards + 5 1/3 yards
= 13 1/3 yards
Now, we can calculate the outside perimeter of the deck.
Outside perimeter = 2 * (Length of the deck + Width of the deck)
= 2 * (8 yards + 13 1/3 yards)
= 2 * 21 1/3 yards
= 42 2/3 yards
So, the outside perimeter of the deck is 42 2/3 yards. Just be careful not to slip and slide while measuring it!
The length of the pool is given as 3 1/3 yards, and the width of the pool is given as 8 yards. Therefore, the length of the pool is 3 1/3 yards and the width is 8 yards.
The width of the deck around the pool is given as 2 2/3 yards on all sides. Thus, we need to add 2 2/3 yards to both the length and width of the pool to find the total length and width of the deck.
To add fractions, we need a common denominator. In this case, the denominators are 3 and 1. The common denominator is 3.
Now, let's find the total length and width of the deck.
Total length of the deck:
3 1/3 + 2 2/3 = (3 + 2) + (1/3 + 2/3) = 5 + 3/3 = 5 1/3
Total width of the deck:
8 + 2 2/3 = 8 + 2/3 = (8 * 3/3) + 2/3 = 24/3 + 2/3 = 26/3
Now, we have the total length and width of the deck. To find the perimeter, we need to double the length and width and then add them together.
Perimeter of the deck:
(2 * 5 1/3) + (2 * 26/3) = 10 2/3 + 52/3 = (10 + 52)/3 = 62/3
Therefore, the outside perimeter of the deck is 62/3 yards.
Given that the pool measures 3 1/3 yards by 8 yards, we can calculate the lengths of the sides of the deck as follows:
Length: 3 1/3 + 2 2/3 + 3 1/3 + 2 2/3
Width: 8 + 2 2/3 + 2 2/3
To simplify the calculations, we can convert all the measurements to fractions/exact values.
Length: (10/3) + (8/3) + (10/3) + (8/3)
Width: 8 + (8/3) + (8/3)
Now, let's add up the measurements:
Length: (10/3) + (8/3) + (10/3) + (8/3) = (36/3) = 12
Width: 8 + (8/3) + (8/3) = (24/3) + (8/3) + (8/3) = (40/3) = 13 1/3
Therefore, the outside perimeter of the deck is:
2 * Length + 2 * Width = 2 * 12 + 2 * (13 1/3) = 24 + (26 2/3) = 50 2/3 yards
Hence, the outside perimeter of the deck is 50 2/3 yards.