All of the side lenghts of the smaller triangles have been multiplied by 2 which guarantees side side side similarities. (basically similar angles shows congruence when their sides are proportional)

6 0

3 years ago

I need help on this question please help

maria [59]

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.

Step-by-step 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.

6 0

3 years ago