four square tables are arranged next to each other to form one large rectangular table.the perimeter of the large rectangular table is 20m.what is the perimeter and area nof each square table?
Hmmm. If it says rectangular, rather than square, the small tables must have been arranged in a line. SO, if the side of each table is x, then the line of 4 has
length=4x
width=x
perimeter=10x, so x=2
There are four 2x2 tables in a line.
small tables have area 4, perimeter 8.
Now, if the 4 tables are arranged in a square, then the large square has side 2x, perimeter 8x, and x = 2.5
12m
Very good and useful information
To find the perimeter and area of each square table, we need to make some assumptions since the dimensions are not provided.
Assumption 1: All four square tables are of equal size (all sides of each table are of equal length).
Let's assume the side length of each square table is 'x' meters.
Since four tables are arranged next to each other, the length of the large rectangular table will be equal to 4 times the side length of each square table, which is 4x.
The width of the large rectangular table will be equal to the side length of each square table, which is x.
Now, let's calculate the perimeter of the large rectangular table using the given information that the perimeter is 20 meters:
Perimeter of a rectangle = 2 * (length + width)
Perimeter of the large rectangular table = 2 * (4x + x) = 2 * (5x) = 10x
We know that the perimeter of the large rectangular table is 20 meters. Therefore:
10x = 20
Dividing both sides of the equation by 10:
x = 2
So, the side length of each square table is 2 meters.
Now, let's calculate the perimeter and area of each square table:
Perimeter of a square = 4 * side length
Perimeter of each square table = 4 * 2 = 8 meters
Area of a square = side length * side length
Area of each square table = 2 * 2 = 4 square meters
Therefore, the perimeter of each square table is 8 meters, and the area of each square table is 4 square meters.