Let's go through the problems in the image you've uploaded:

Question 5:

Find the area of the figure below.

The figure appears to be made up of two triangles:

1. Triangle ABE with base $AB = 7 \, \text{cm}$ and height $AE = 6 \, \text{cm}$.
2. Triangle CDE with base $CD = 4 \, \text{cm}$ and height $DE = 6 \, \text{cm}$.

The area of a triangle is calculated by the formula: $\text{Area of a triangle} = \frac{1}{2} \times \text{base} \times \text{height}$

• Area of triangle ABE: $\text{Area of ABE} = \frac{1}{2} \times 7 \times 6 = 21 \, \text{cm}^2$

• Area of triangle CDE: $\text{Area of CDE} = \frac{1}{2} \times 4 \times 6 = 12 \, \text{cm}^2$

Thus, the total area is: $\text{Total area} = 21 + 12 = 33 \, \text{cm}^2$

Question 6:

The figure is made up of a square, a triangle, and a rectangle. Find the perimeter of the figure.

Let's break it down:

1. Square: One side of the square is $4 \, \text{cm}$.
2. Rectangle: The rectangle has one side of $7 \, \text{cm}$ and the other side as $2 \, \text{cm}$.
3. Triangle: One side of the triangle is given as $5 \, \text{cm}$.

We need to sum the outer edges of the figure to find the perimeter.

• Perimeter of the square: Since only one side of the square is part of the outer edge, we only take that side: $4 \, \text{cm}$.
• Perimeter of the rectangle: The relevant sides are $7 \, \text{cm}$ and $2 \, \text{cm}$.
• Triangle side: The outer side of the triangle is $5 \, \text{cm}$.

Now, summing the relevant sides: $\text{Perimeter} = 4 \, \text{cm} + 7 \, \text{cm} + 5 \, \text{cm} + 2 \, \text{cm} = 18 \, \text{cm}$

Summary of answers:

• Answer to Question 5: $33 \, \text{cm}^2$
• Answer to Question 6: $18 \, \text{cm}$

Do you need any further clarifications or details? Here are 5 related questions:

1. How is the area of a triangle derived?
2. Can we find the perimeter of any shape by summing all the outer sides?
3. How would the area change if the height of both triangles were doubled?
4. Why do we divide by 2 when calculating the area of a triangle?
5. What is the difference between perimeter and area in geometric figures?

Tip: For composite figures, break the shape into known geometrical shapes to find the area or perimeter.