Question

Polygon abcde shown in the coordinate plane find the area of the figure Answer choices: 32466072

Answer 1

We have to calculate the area of the polygon.

To do that we divide the polygon in known figures of which we can calculate the area.

Then, the area of the polygon will be the sum of the areas of its parts.

We can then divide the polygon as:

We can add the areas of the three figures as:

`\begin{gathered} A=A_1+A_2+A_3 \\ A=(3*4)/(2)+(6*4)/(2)+4*(9+5)/(2) \\ A=(12)/(2)+(24)/(2)+4*7 \\ A=6+12+28 \\ A=46 \end{gathered}`

Answer: the area is 46 square units.