Answer:
The area of each figure is:
- Area of the rectangle = 10 square units.
- Area of the triangle = 10 square units.
- Area of the figure = 20 square units.
Explanation:
To find the area of that figure, first, we're gonna find the area of the rectangle and next the area of the triangle, to make this we need to identify the measurement of each one, the rectangle has 2 units wide and 5 units high, then, we use the next formula:
- Area of a rectangle = width * height
- Area of a rectangle = 2 units * 5 units
- Area of a rectangle = 10 square units
Now, we identify the measurements of the triangle (base = 4 units, height = 5 units) and we use the formula:
- Area of a triangle = (base * height) / 2
- Area of a triangle = (4 units * 5 units) / 2
- Area of a triangle = (20 square units / 2
- Area of a triangle = 10 square units
And we obtain the area of the whole figure when we add the two areas:
- Area of the figure = area of the triangle + area of the rectangle
- Area of the figure = 10 square units + 10 square units
- Area of the figure = 20 square units.
As you can see, the area of the picture is 20 square units.