A photo is mounted on a frame measuring 40cm by 20cm.the photo leaves 5cm and 3cm along the length and width respectively. Calculate the area of the frame not covered by the photo 

To calculate the area of the frame not covered by the photo, let's break the problem down step by step:

### Step 1: Frame Dimensions
- Length of the frame: 40 cm
- Width of the frame: 20 cm

### Step 2: Photo Dimensions
The photo leaves **5 cm along the length** and **3 cm along the width**, meaning the actual dimensions of the photo can be found by subtracting these margins from the frame's dimensions.

- Length of the photo: \( 40 \, \text{cm} - 2 \times 5 \, \text{cm} = 30 \, \text{cm} \)
- Width of the photo: \( 20 \, \text{cm} - 2 \times 3 \, \text{cm} = 14 \, \text{cm} \)

### Step 3: Areas
- Area of the frame: \( 40 \, \text{cm} \times 20 \, \text{cm} = 800 \, \text{cm}^2 \)
- Area of the photo: \( 30 \, \text{cm} \times 14 \, \text{cm} = 420 \, \text{cm}^2 \)

### Step 4: Area of the Frame Not Covered by the Photo
The area of the frame not covered by the photo is the difference between the area of the frame and the area of the photo:
\[
\text{Uncovered area} = 800 \, \text{cm}^2 - 420 \, \text{cm}^2 = 380 \, \text{cm}^2
\]

Thus, the area of the frame not covered by the photo is **380 cm²**.

Would you like more details or have any further questions? Here are some related questions for practice:

1. What would the uncovered area be if the margins were doubled?
2. How would the result change if the frame was square, with a side length of 40 cm?
3. If the photo were centered, what would the new dimensions of the photo be?
4. How much area would the photo cover if the frame were 50 cm by 30 cm?
5. What would be the length and width of the photo if only the total uncovered area was known?

**Tip:** Always double-check your margin deductions when calculating reduced dimensions from frames or borders!

A photo is mounted on a frame measuring 40cm by 20cm. The photo leaves 5cm and 3cm along the length and width respectively. Calculate the area of the frame not covered by the photo.

Learn how to calculate the area of a frame not covered by a photo with specific margins. The frame measures 40cm by 20cm, with 5cm left along the length and 3cm along the width. This step-by-step solution helps students in Grades 6-8 understand geometry and area subtraction.

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