72 identical square tiles how many tiles are there along the length and width of the rectangle give two pairs of possible values
To solve this, we need to find two pairs of values for the number of tiles along the length and width of the rectangle that can accommodate 72 identical square tiles.
First, let's list down the factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
Now, we need to find pairs of factors that result in the same value when multiplied together.
- Pair 1:
From the factors above, we can see that 6 and 12 multiply to give 72. Therefore, a rectangle with dimensions 6 tiles x 12 tiles can accommodate 72 square tiles.
- Pair 2:
Similarly, from the factors, we can see that 8 and 9 multiply to give 72. Hence, a rectangle with dimensions 8 tiles x 9 tiles can also accommodate 72 square tiles.
So, two pairs of possible values for the number of tiles along the length and width of the rectangle are:
1) 6 tiles x 12 tiles
2) 8 tiles x 9 tiles