D. Development (Time Frame: Day 2) Learning Task 1: Find the area of each irregular figures. 1. 7 cm 12 cm 18 cm 6 cm 8 cm 4. E. Engagement (Time Frame: Day 3) 5. 2. Area of Trapezoid = 21 cm² 6 cm 9 cm 36 cm Area of Trapezoid 32 cm 10 cm = 4 cm 42 cm² 2 3. 21 cm 9

The area of the irregular figure with dimensions 7 cm, 12 cm, 18 cm, 6 cm, 8 cm, and 4 cm is **180 cm²**.

The area of the trapezoid with dimensions 6 cm, 9 cm, 36 cm, 32 cm, and 10 cm is **189 cm²**.

**Step-by-step ****Explanation:**** **

Let’s break down the question into two parts:

Part 1: Find the area of the irregular figure with dimensions 7 cm, 12 cm, 18 cm, 6 cm, 8 cm, and 4 cm.

To find the area of an irregular figure, we need to break it down into smaller, regular shapes and add up their areas. In this case, we can divide the figure into a rectangle and a triangle:

The rectangle has a length of 18 cm and a width of 8 cm, so its area is:

Area of rectangle = length x width

Area of rectangle = 18 cm x 8 cm

Area of rectangle = 144 cm²

The triangle has a base of 18 cm and a height of 4 cm, so its area is:

Area of triangle = (base x height) / 2

Area of triangle = (18 cm x 4 cm) / 2

Area of triangle = 36 cm²

To find the area of the irregular figure, we need to add the areas of the rectangle and triangle:

Area of irregular figure = area of rectangle + area of triangle

Area of irregular figure = 144 cm² + 36 cm²

Area of irregular figure = 180 cm²

Therefore, the area of the irregular figure is 180 cm².

Part 2: Find the area of the trapezoid with dimensions 6 cm, 9 cm, 36 cm, 32 cm, and 10 cm.

The formula for the area of a trapezoid is:

Area of trapezoid = (sum of bases x height) / 2

In this case, the bases are 6 cm and 36 cm, and the height is 9 cm. Substituting these values into the formula, we get:

Area of trapezoid = (6 cm + 36 cm) x 9 cm / 2

Area of trapezoid = 42 cm x 9 cm / 2

Area of trapezoid = 189 cm²

Therefore, the area of the trapezoid is 189 cm².