https://file.aiquickdraw.com/mathbot/file/1730471126482foqcydvq.jpg

To help you with the solutions for each shape, I'll need to extract the dimensions from the image for each one. Here’s how we can proceed:

1. **First Shape (Quadrilateral with Sides & Right Triangle):**
   - This quadrilateral seems to have a right triangle inside, possibly allowing us to use trigonometric relationships or the Pythagorean theorem.
   - I’ll calculate the area of the entire quadrilateral based on given dimensions.

2. **Second Shape (Quadrilateral with Diagonal and Sides):**
   - The shape looks like a kite or rhombus with diagonals, so I can use the area formula based on the diagonals.

3. **Third Shape (Rectangle):**
   - The formula for both the area and perimeter of a rectangle is straightforward if the lengths of the sides are clear.

I'll need a moment to calculate each shape's area and perimeter based on visible dimensions.

Let me know if there are any specific details you want me to focus on, or if you need step-by-step explanations for each shape!

Find the area and perimeter of the following shapes. Then, evaluate Carlo's claim about quadrilateral diagonals always being perpendicular.

Learn how to find the area and perimeter of different quadrilateral shapes, including trapezoids, kites, and rectangles. This tutorial also addresses the claim about the perpendicularity of quadrilateral diagonals. Perfect for students in Grades 8-10.

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