Arrange 9 square tiles having side of length 2 cm in 3 different ways . Find the perimeter of the resulting figure in each case
Math
answer is 15
To arrange 9 square tiles with a side length of 2 cm in different ways, we can explore various possibilities. Let's examine three different arrangements and calculate the perimeter for each one.
Arrangement 1: Square Shape
In this arrangement, we can arrange the 9 square tiles to form a larger square with dimensions 6 cm by 6 cm. To calculate the perimeter, we need to sum up all the sides of the larger square.
Perimeter = 6 cm + 6 cm + 6 cm + 6 cm = 24 cm
Arrangement 2: Rectangle Shape
In this arrangement, we can arrange the 9 square tiles to form a larger rectangle with dimensions 4 cm by 9 cm. To calculate the perimeter, we need to sum up all the sides of the larger rectangle.
Perimeter = 4 cm + 4 cm + 9 cm + 9 cm = 26 cm
Arrangement 3: "L" Shape
In this arrangement, we can arrange the tiles to create an "L" shape with one row of four tiles and another row of five tiles adjacent to it. The dimensions of the figure would be 4 cm by 7 cm. To calculate the perimeter, we need to sum up all the sides of the "L" shape.
Perimeter = 4 cm + 7 cm + 4 cm + 7 cm = 22 cm
Therefore:
- The perimeter of the resulting figure in the square arrangement is 24 cm.
- The perimeter of the resulting figure in the rectangular arrangement is 26 cm.
- The perimeter of the resulting figure in the "L" shape arrangement is 22 cm.