https://file.aiquickdraw.com/mathbot/file/1726599353689ev7f3s9c.jpg

Let's go through the problems shown in the image:

### Problem 11
**Find the perimeter and area of the rectangle:**
- Length = 7 ft
- Width = 2.31 ft

- **Perimeter (P) of a rectangle** is given by:
  \[
  P = 2 \times ( \text{Length} + \text{Width} )
  \]
- **Area (A)** is given by:
  \[
  A = \text{Length} \times \text{Width}
  \]

### Problem 12
**Find the perimeter and area of the square:**
- Side length = 8.4 m

- **Perimeter (P) of a square** is:
  \[
  P = 4 \times \text{side}
  \]
- **Area (A)** is:
  \[
  A = \text{side}^2
  \]

### Problem 13
**Find the shaded area in the triangle**:
- This is a right-angled triangle with two distinct regions.
- **Area of the whole triangle** can be calculated using the formula:
  \[
  A = \frac{1}{2} \times \text{base} \times \text{height}
  \]
  where the base = 9 m and height = 12 m.

- The **unshaded triangle** has:
  - Base = 5 m
  - Height = 13 m
  Using the same formula for the area.

- **Shaded area**:
  \[
  \text{Shaded Area} = \text{Area of larger triangle} - \text{Area of smaller triangle}
  \]

### Problem 14
**Find the circumference and area of the circle:**
- Radius = 3 cm

- **Circumference (C)** is given by:
  \[
  C = 2 \times \pi \times r
  \]
  where \(r = 3\) cm.

- **Area (A)** is:
  \[
  A = \pi \times r^2
  \]

Let me calculate the answers for you.Here are the solutions to the problems:

### Problem 11: Rectangle
- **Perimeter**: 18.62 ft
- **Area**: 16.17 ft²

### Problem 12: Square
- **Perimeter**: 33.6 m
- **Area**: 70.56 m²

### Problem 13: Shaded area in the triangle
- **Shaded Area**: 21.5 m²

### Problem 14: Circle
- **Circumference**: 18.85 cm
- **Area**: 28.27 cm²

Do you need further details or explanations?

Here are 5 additional questions related to these problems:
1. What would happen to the perimeter if the dimensions of the rectangle in Problem 11 were doubled?
2. How does the area of a square change if the side length is halved?
3. What formula would you use to find the area of any triangle, not just right triangles?
4. How would the shaded area change if the dimensions of the small triangle were doubled in Problem 13?
5. How does increasing the radius of a circle affect its area?

**Tip:** Always ensure units are consistent when calculating perimeter, area, or volume to avoid errors.

Find the perimeter or circumference and area of each shape, including the shaded area in the triangle (Problem 13) and the circle (Problem 14).

Solve geometry problems involving the perimeter and area of rectangles, squares, circles, and shaded areas in triangles. This exercise is perfect for students in Grades 6-9, covering key geometry concepts with real-world applications.

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