Can someone help me with this, i need answers before 11:59 pls

Question

asked Jul 13, 2024 196k views

1 Answer

Mtizziani · Answer 1 · 2024-07-18T06:58:25+0000

Answer:

39 units^2

Explanation:

Since the polygon is not a regular polygon, but a composite polygon, we can split the polygon up and solve the area of each part and add them up.

We can split the polygon into three shapes as shown in the picture below.

And we solve for the area of each shape.
Top left triangle:

$Area=(1*3)/(2) \\Area=(3)/(2)\\Area=1.5$

Lower left triangle:

$Area=(3*5)/(2) \\Area=(15)/(2)\\Area=7.5$

Rectangle:

$Area=5*6\\Area=30$

Finally, add the areas up:

$Area=1.5+7.5+30\\Area=39$