Answer:
230 cm²
Explanation:
Split the shape into a rectangle and a triangle to make it easier to solve.
A(rectangle) = l · w
A(triangle) = 1/2bh
Let's find the area of the rectangle first. The length is 20 and the width is 7. Substitute those values into the equation.
A(rectangle) = 20 · 7 = 140 cm²
Next, find the area of the triangle. The base is 20 but in order to find the height, you need to subtract 7 from 16. This means the height is 9. Substitute those values into the equation.
A(triangle) = 1/2(20)(9) = 90 cm²
Finally, in order to find the area of the entire shape, we need to add the two areas we evaluated.
A(shape) = 140 + 90 = 230 cm²
Therefore, the area of the shape is 230 cm².