Answer:
<h2>
1,416 cm²</h2>
Step-by-step explanation:
There are various lines dividing this figure into shapes, such as rectangles and triangles; this makes it easier to find the area.
- To find the area of a triangle, multiply the base and the height, then multiply the product by 1/2.
- To find the area of a rectangle, multiply the width by the length.
First, find the area of the triangles.
In this figure, there are two triangles with heights of 12 and bases of 18.
![12 * 18 = 216](https://tex.z-dn.net/?f=12%20%2A%2018%20%3D%20216)
Then, multiply the product by 1/2.
![216 * 1/2 = 108](https://tex.z-dn.net/?f=216%20%2A%201%2F2%20%3D%20108)
There are two triangles, so multiply, the product, 108, by 2.
![108*2 = 216](https://tex.z-dn.net/?f=108%2A2%20%3D%20216)
The area of both combined triangles is 216 cm; the area of a single triangle is 108 cm.
Secondly, find the area of the rectangles.
There are two rectangles with widths of 25 and lengths of 15.
![25*15 = 375](https://tex.z-dn.net/?f=25%2A15%20%3D%20375)
There are two rectangles, so multiply the product, 375, by 2.
![375*2 = 750](https://tex.z-dn.net/?f=375%2A2%20%3D%20750)
The area of both rectangles combined is 750 cm; the area of a single rectangle is 375 cm.
Lastly, we find the area of the rectangle in the middle.
This rectangle has a length of 18 and a width of 25.
18![18*25 = 450](https://tex.z-dn.net/?f=18%2A25%20%3D%20450)
The area of this rectangle is 450 cm.
Lastly, add the areas of all the shapes.
![108 + 108 + 375 + 375 + 450 = 1,416.](https://tex.z-dn.net/?f=108%20%2B%20108%20%2B%20375%20%2B%20375%20%2B%20450%20%3D%201%2C416.)
Therefore, the area of this figure is 1,416 cm².