Ella draws a square each side is 12cm long. Oliver draws a square with a perimeter 150% longer. What’s the length of each side of Oliver’s square

To solve this, we first determine the perimeter of Ella's square and then calculate the perimeter of Oliver's square, which is 150% longer.

### Step 1: Perimeter of Ella's square
The perimeter \( P \) of a square is calculated using the formula:
\[
P = 4 \times \text{side length}
\]
For Ella's square, the side length is 12 cm:
\[
P_{\text{Ella}} = 4 \times 12 = 48 \, \text{cm}
\]

### Step 2: Perimeter of Oliver's square
Oliver's square has a perimeter that is 150% longer than Ella's. To find this, we first calculate 150% of Ella's perimeter and then add it to her perimeter:
\[
150\% \, \text{of} \, 48 = 1.5 \times 48 = 72 \, \text{cm}
\]
Now, adding this to Ella's perimeter:
\[
P_{\text{Oliver}} = 48 + 72 = 120 \, \text{cm}
\]

### Step 3: Side length of Oliver's square
Since the perimeter of a square is \( 4 \times \text{side length} \), we can solve for the side length of Oliver's square:
\[
\text{Side length of Oliver's square} = \frac{P_{\text{Oliver}}}{4} = \frac{120}{4} = 30 \, \text{cm}
\]

So, the length of each side of Oliver's square is **30 cm**.

Would you like a detailed explanation of any step?

### Related Questions:
1. How do you calculate the area of a square if given the perimeter?
2. If Oliver's square had been 200% longer in perimeter, what would the side length be?
3. How does the perimeter of a square relate to its side length?
4. What is the relationship between area and perimeter in squares?
5. Can you derive a formula for the side length of a square given its perimeter?

**Tip:** Always express percentages as decimals (e.g., 150% = 1.5) when performing calculations.

Ella draws a square each side is 12cm long. Oliver draws a square with a perimeter 150% longer. What’s the length of each side of Oliver’s square?

Learn how to calculate the side length of a square when its perimeter is 150% longer than another square's perimeter. This problem covers geometric concepts like perimeter and side lengths of squares. Perfect for students in Grades 6-8.

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