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The image you provided shows two math-related questions.

1. **Find the area of the rectangle (answer: 48)** – This question is complete, and the area of the rectangle has already been given as **48**.

2. **Using the distance formula to find which point is closer to the origin** – The two points provided are:
   - \( A(8, 8) \)
   - \( B(-7, 6) \)

   To determine which point is closer to the origin, we use the **distance formula** from the origin, which is:
   \[
   d = \sqrt{x^2 + y^2}
   \]
   - For point \( A(8, 8) \), the distance to the origin is:
     \[
     d_A = \sqrt{8^2 + 8^2} = \sqrt{64 + 64} = \sqrt{128} \approx 11.31
     \]
   - For point \( B(-7, 6) \), the distance to the origin is:
     \[
     d_B = \sqrt{(-7)^2 + 6^2} = \sqrt{49 + 36} = \sqrt{85} \approx 9.22
     \]

Since the distance of point \( B \) is smaller than point \( A \), the answer is correct: **Point B is closer to the origin**.

Would you like more details or have any other questions?

Here are five related questions you might find helpful:
1. How do you calculate the area of a rectangle given its length and width?
2. What is the significance of the distance formula in coordinate geometry?
3. How would the result change if the coordinates of the points were different?
4. Can the distance formula be applied to three-dimensional coordinates? How?
5. What are other practical applications of the distance formula?

**Tip**: Always square the differences carefully in the distance formula to avoid errors, especially when working with negative values!

Which of the points A(8, 8) or B(-7, 6) is closer to the origin?

Learn how to use the distance formula to find which of two points, A(8, 8) or B(-7, 6), is closer to the origin. This problem involves key concepts in coordinate geometry and the Pythagorean Theorem. Suitable for students in Grades 9-10.

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