I. What would the dimensions of the largest square patio be that could be made with 200 tiles if each tile measures 30cm by 30 cm.
it will be a square, using 196 tiles (14x14)
3 dimension
27592
To find the dimensions of the largest square patio that could be made with 200 tiles, we need to determine the area of the patio and then find the side length of the square.
Step 1: Determine the area of one tile
Given that each tile measures 30 cm by 30 cm, the area of one tile can be calculated by multiplying the length by the width:
Area of one tile = 30 cm * 30 cm = 900 cm^2
Step 2: Calculate the total area of 200 tiles
Since there are 200 tiles, we can find the total area of 200 tiles by multiplying the area of one tile by 200:
Total area of 200 tiles = 900 cm^2 * 200 = 180,000 cm^2
Step 3: Find the side length of the square patio
The area of a square is equal to the side length squared. So, we can find the side length of the largest square patio by taking the square root of the total area of the tiles:
Side length = √(Total area of 200 tiles)
Side length = √(180,000 cm^2)
Side length ≈ 424.26 cm
Therefore, the largest square patio that could be made with 200 tiles would have dimensions of approximately 424.26 cm by 424.26 cm.