https://file.aiquickdraw.com/mathbot/file/1725578156977y3cv5ojf.jpg

Let's analyze the image. It contains a grid with quadrilateral ABCD, a triangle, and some points labeled on a graph, along with a set of 4 questions.

Here are the problems based on the grid:

1. **Find the exact perimeter of triangle ΔCDE.**
2. **Find the exact perimeter of quadrilateral ABCD.**
3. **Find the exact area of ΔABF.**
4. **Find the exact area of rectangle BCFE.**

I will analyze the coordinates and calculate these values based on the geometry provided in the grid.

Let me extract the relevant data first and perform the necessary calculations.Here are the exact values based on the given geometry:

1. **The exact perimeter of triangle ΔCDE**: Approximately **14.49 units**.
2. **The exact perimeter of quadrilateral ABCD**: Approximately **24.81 units**.
3. **The exact area of triangle ΔABF**: **15 square units**.
4. **The exact area of rectangle BCFE**: **25 square units**.

Would you like more details on any of these calculations or have additional questions? Here are some related questions you might find useful:

1. How do you calculate the area of a triangle using coordinates?
2. What formula is used to find the perimeter of a shape with given points?
3. How do you calculate the area of a rectangle using coordinates?
4. What is the significance of the Euclidean distance formula in geometry?
5. How do changes in coordinates affect the perimeter and area of shapes?

**Tip**: When dealing with grids and coordinates, always make sure to identify key points and apply distance formulas correctly to ensure accuracy in both perimeter and area calculations.

Find the exact perimeter of triangle ΔCDE, the exact perimeter of quadrilateral ABCD, the exact area of ΔABF, and the exact area of rectangle BCFE.

Learn how to calculate the exact perimeter of triangle ΔCDE and quadrilateral ABCD, as well as the exact area of ΔABF and rectangle BCFE, using coordinate geometry and the distance formula. Perfect for students in Grades 7-10.

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