3 identical tables are 3 1/2 ft wide and 5 1/4 long. To make one long table, they are pushed together to share thrir short ends. What is the perimeter of the long table ?
P = 2L + 2W
P = 2(3 * 5.25) + (2 * 3.5)
P = 31.5 + 7
P = 38.5 feet
Thank you. Ms. Sue
To find the perimeter of the long table, we need to add up all the sides of the table.
Let's start by calculating the width and length of the long table. Since the three identical tables are pushed together to share their short ends, their combined width will be the same as that of a single table.
Each table is 3 1/2 ft wide, so when we push three tables together, the width of the long table remains the same:
3 1/2 ft + 3 1/2 ft + 3 1/2 ft = 10 1/2 ft
Now, let's calculate the length of the long table. When the tables are pushed together, their lengths are combined, so we add the lengths of the individual tables:
5 1/4 ft + 5 1/4 ft + 5 1/4 ft = 15 3/4 ft
To find the perimeter, we add up all the sides of the long table:
Perimeter = 2 × (width + length)
Since the width is 10 1/2 ft and the length is 15 3/4 ft, we can substitute these values into the perimeter formula:
Perimeter = 2 × (10 1/2 ft + 15 3/4 ft)
Calculating the sum of the widths and lengths:
Perimeter = 2 × (26 1/4 ft)
Simplifying the expression:
Perimeter = 52 1/2 ft
Therefore, the perimeter of the long table made by pushing together three identical tables is 52 1/2 ft.