To solve this problem, we will calculate the areas of the rectangle and triangle separately and then sum them to find the total area of the figure.

Step 1: Dimensions from the grid

• The rectangle has a width of 4 units and a height of 2 units.
• The triangle has a base of 2 units and a height of 2 units.

Step 2: Area of the rectangle

The formula for the area of a rectangle is: $\text{Area} = \text{width} \times \text{height}$ Substituting the values: $\text{Area of rectangle} = 4 \times 2 = 8 \text{ square units}$

Step 3: Area of the triangle

The formula for the area of a triangle is: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$ Substituting the values: $\text{Area of triangle} = \frac{1}{2} \times 2 \times 2 = 2 \text{ square units}$

Step 4: Total area of the figure

The total area is the sum of the rectangle's and triangle's areas: $\text{Total area} = 8 + 2 = 10 \text{ square units}$

Final Answers:

• Area of the rectangle: 8 square units
• Area of the triangle: 2 square units
• Total area of the figure: 10 square units

Would you like more detailed steps or have any questions?

Here are five related questions to expand your understanding:

1. How would the total area change if the triangle's base were doubled?
2. What is the formula for the area of a trapezoid, and can we use it for this figure?
3. How would you calculate the perimeter of this figure?
4. How do grid measurements help in finding areas of irregular shapes?
5. Can this method be used to find areas of composite shapes with curves?

Tip: Always double-check measurements on the grid to ensure accuracy in area calculations!