Question

Find the area of the shape use decomposition

Answer 1

We can divide the figure into two triangles.

As you can observe, both triangles are equal, their base is 3 units long and their height is 5 units long. The height is outside the triangle because it's an obtuse triangle. First, let's use the area formula for triangles.

`A=(bh)/(2)`

Where b = 3 and h = 5. Let's find the area of one triangle.

`A=(3\cdot5)/(2)=(15)/(2)`

Then, we multiply this area by 2 because there are two triangles.

`A_{\text{total}}=2\cdot(15)/(2)=15`

Therefore, the area of the shape is 15 square units.