Calculate Wooden Strip Length for Photo Frame

This problem requires finding the minimum length of a wooden strip needed to create a frame for a photograph. The photo dimensions are 40 cm x 30 cm, and the strip used for the frame has a width of 2 cm. We need to calculate the total length of the wooden strip material required.

Calculating the Photo Perimeter

First, we determine the perimeter of the photo itself. The perimeter is the total distance around the edges of the photo.

The formula for the perimeter ($P$) of a rectangle is:

P = 2 \times (\text{length} + \text{width})

Given the dimensions of the photo:

• Length ($L$) = 40 cm
• Width ($W$) = 30 cm

Substitute these values into the perimeter formula:

P = 2 \times (40 \text{ cm} + 30 \text{ cm})

P = 2 \times (70 \text{ cm})

P = 140 \text{ cm}

The perimeter of the photo is 140 cm.

Determining the Required Strip Length

Next, we consider the width of the wooden strip (2 cm). To find the minimum length of the strip required for the frame, we use a calculation method that accounts for the photo's perimeter and the strip's width.

The calculation method derived from the problem's context is:

Required Length = Perimeter of Photo - (4 × Strip Width)

Using the values we have:

• Perimeter ($P$) = 140 cm
• Strip Width ($w$) = 2 cm

Now, perform the calculation:

Required Length = 140 \text{ cm} - (4 \times 2 \text{ cm})

Required Length = 140 \text{ cm} - 8 \text{ cm}

Required Length = 132 \text{ cm}

Conclusion

Following this calculation, the minimum length of the wooden strip needed to frame the photo is 132 cm.