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The image you've provided appears to be a textbook or instructional guide related to polynomials and involves calculating the area of a lawn with rectangular sections. Here’s a breakdown of the steps involved in the problem shown in the image:

1. **Total Area Calculation**:
   - The total area of the lawn is calculated using the formula for the area of a rectangle:
     \[
     A = l \times w = 10x \times 6x = 60x^2 \text{ units}^2
     \]

2. **Subtraction of Non-Grass Regions**:
   - There are smaller rectangular sections that do not require grass seed, which need to be subtracted from the total area.
   - The area of the square regions is \( 4 \times 4 = 16 \) units\(^2\).
   - The other rectangular region with dimensions \(4 \times (10x - 8)\) has an area of \(40x - 32\) units\(^2\).

3. **Grass Area Calculation**:
   - The area that requires grass seed is found by subtracting the areas of the non-grass regions from the total area:
     \[
     60x^2 - (16 + 40x - 32) \text{ units}^2 = 60x^2 - 40x \text{ units}^2
     \]
   - Simplification confirms that this is an equivalent expression.

If you need further clarification or a more detailed explanation of any specific part, feel free to ask!

Here are five related questions you might find helpful:
1. How do you factorize the polynomial \(60x^2 - 40x\)?
2. What is the significance of finding the area that requires grass seed?
3. Can this method be used for lawns with different shapes, such as circular sections?
4. How would you adjust the calculation if the length and width of the lawn were in different units?
5. What is the importance of simplifying expressions like \(60x^2 - 40x\)?

**Tip**: When dealing with area calculations, always make sure all the units are consistent to avoid errors in your final answer.

Calculate the area of the lawn that requires grass seed, given the dimensions in the image.

Learn how to calculate the area of a lawn that requires grass seed by subtracting the non-grass regions from the total area. This problem involves polynomial simplification and area calculations suitable for students in Grades 8-10.

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