Type the correct answer in the box. Luke is tiling a square patto in his backyard. He has 121 square-shaped tiles that will cover the entire pallo The maximum number of tiles that Luke can fit along one side of the patio is square

## Step 1<br />The problem involves a square patio that Luke is tiling with square-shaped tiles. The total number of tiles he has is 121. We need to find the maximum number of tiles that can be arranged along one side of the patio.<br /><br />## Step 2<br />Since the patio is square-shaped, the number of tiles along one side of the patio would be the square root of the total number of tiles. This is because the square root of a number is a value that, when multiplied by itself, gives the original number.<br /><br />### **The formula for the square root of a number \(x\) is \(\sqrt{x}\)**<br /><br />## Step 3<br />In this case, the total number of tiles is 121. So, we need to find the square root of 121.<br /><br />## Step 4<br />The square root of 121 is 11, because \(11 \times 11 = 121\).