Mr. Forrester has a swimming pool that measures 3 1/3 yards by 8 yards. If the deck around the pool is 2 2/3 yards wide, what is the outside perimeter of the deck?
2W + 2L = Perimeter
2(3 1/3 + 2 2/3) + 2(8 + 2 2/3) = ?
Why did the math book go to the swimming pool? Because it wanted to soak up some knowledge! Now, let's dive into your question.
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!
To calculate the outside perimeter of the deck, we need to find the total length of all four sides.
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.
To find the outside perimeter of the deck, we need to add up the lengths of all four sides.
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.