https://file.aiquickdraw.com/mathbot/file/17263547095862rm42h55.jpg

Let's break down and solve the problems:

### Problem 12: Parallelogram

Given:
- \( a = 12'0'' = 3600 \, \text{mm} \)
- \( b = 8'3'' = 2000 \, \text{mm} \)
- \( h = 8'0'' = 2400 \, \text{mm} \)

#### Perimeter of the Parallelogram:
The formula for the perimeter of a parallelogram is:
\[
P = 2(a + b)
\]
Substituting the given values:
\[
P = 2(3600 \, \text{mm} + 2000 \, \text{mm}) = 2(5600 \, \text{mm}) = 11200 \, \text{mm}
\]

#### Area of the Parallelogram:
The formula for the area of a parallelogram is:
\[
A = a \times h
\]
Substituting the given values:
\[
A = 3600 \, \text{mm} \times 2400 \, \text{mm} = 8640000 \, \text{mm}^2
\]
\[
A = 8.64 \, \text{m}^2
\]

### Problem 13: Triangle

Given:
- \( a = 10'0'' = 2750 \, \text{mm} \)
- \( b = 9'6'' = 2050 \, \text{mm} \)
- \( c = 3'0'' = 300 \, \text{mm} \)
- \( h = 2'0'' = 600 \, \text{mm} \)

#### Perimeter of the Triangle:
The formula for the perimeter of a triangle is:
\[
P = a + b + c
\]
Substituting the given values:
\[
P = 2750 \, \text{mm} + 2050 \, \text{mm} + 300 \, \text{mm} = 5100 \, \text{mm}
\]

#### Area of the Triangle:
The formula for the area of a triangle is:
\[
A = \frac{1}{2} \times b \times h
\]
Substituting the given values:
\[
A = \frac{1}{2} \times 2050 \, \text{mm} \times 600 \, \text{mm} = 615000 \, \text{mm}^2
\]
\[
A = 0.615 \, \text{m}^2
\]

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Would you like to go over any particular detail, or have any questions about these calculations?

Here are 5 related questions to expand on this:
1. How do you convert between feet/inches and millimeters?
2. What is the difference between the perimeter and the area of a shape?
3. Can the formula for the area of a parallelogram be applied to other shapes?
4. How would you calculate the area of a triangle if given only two sides and an angle?
5. What is the formula for the perimeter of more complex polygons?

**Tip:** Always check the units when solving problems involving dimensions. Make sure the inputs are in the same unit before applying formulas.

Calculate the perimeter and the area of the parallelograms and triangles with the given dimensions.

Solve problems involving the perimeter and area of parallelograms and triangles. Learn to calculate using the dimensions provided for each shape, including 3600 mm, 2000 mm, 2400 mm for the parallelogram and 2750 mm, 2050 mm, 300 mm for the triangle. Suitable for students in Grades 9-10.

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