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The amount of timber used to frame a picture depends on the outside length of the overall frame. These are then cut at 45 degrees to make the frame. Kimberley uses 2 m of timber with a width of 5 cm to complete a square picture frame. What is the side length of the picture?

To solve the problem from the image, let's break it down:

Kimberley uses **2 meters (200 cm)** of timber to complete a **square picture frame**. The timber has a width of **5 cm**, but since the width does not affect the total perimeter or the calculation of the side length of the square, we can focus on the total length of the timber and the perimeter.

### Step 1: Perimeter of the Square
The total amount of timber used is the perimeter of the square frame. The formula for the perimeter \( P \) of a square is:

\[
P = 4 \times \text{side length of the square}
\]

Given that \( P = 200 \, \text{cm} \), we can set up the equation:

\[
200 = 4 \times \text{side length}
\]

### Step 2: Solve for Side Length
To find the side length \( s \):

\[
s = \frac{200}{4} = 50 \, \text{cm}
\]

Thus, the side length of the square picture is **50 cm**.

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Would you like more details or have any questions about this problem?

Here are 5 related questions to expand your understanding:

1. How would the side length change if Kimberley had 3 meters of timber?
2. What would happen to the perimeter if the frame was rectangular instead of square?
3. How does the width of the timber affect the appearance of the frame but not the side length?
4. Can you calculate the area of the square picture using the side length?
5. How would the side length calculation change if the frame had a gap between the timber?

**Tip:** The perimeter of any polygon is the sum of the lengths of its sides. For regular shapes like squares, you can easily calculate it by multiplying the side length by the number of sides.

Kimberley uses 2 meters of timber of width 5 cm to complete a square picture frame. What is the side length of the picture?

Solve a geometry problem where Kimberley uses 2 meters of timber to create a square picture frame. Learn how to find the side length using the perimeter formula. Suitable for Grades 5-7 students.

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