Bob made a square table top with 100 white square tiles. He painted the tiles along the edge of the table red. How many tiles are red?
You must show your work
The table's dimensions are 10 by 10 tiles, making a total of 40 tiles on the edges.
However, if you count all 10 across the top and bottom, then count all 10 on the sides, you have counted the corners twice.
There are only 36 tiles on the edges.
inner area = 8x8 = 64
edges = 36
total = 100
Oops, thanks Steve, for correcting me.
To solve this problem, we need to determine how many tiles are painted red along the edge of the table. Since Bob made a square table top, we know that each side of the table has the same number of tiles.
Let's start by finding the length of one side of the square. To do this, we can take the square root of the total number of tiles.
√100 = 10
So, there are 10 tiles on each side of the square table top.
Now, let's determine how many red tiles are on one side. Since all four sides of the table are identical, we can find the total number of red tiles by multiplying the number of red tiles on one side by 4.
Let's suppose that Bob painted n tiles on one side. Therefore, the total number of red tiles is given by the equation:
Total red tiles = n × 4
We know that the number of tiles on one side is 10, so n = 10.
Total red tiles = 10 × 4 = 40
Therefore, there are 40 red tiles on the edge of the table.