Answer:
1,416 cm²
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.
Then, multiply the product by 1/2.
There are two triangles, so multiply, the product, 108, by 2.
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.
There are two rectangles, so multiply the product, 375, by 2.
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
The area of this rectangle is 450 cm.
Lastly, add the areas of all the shapes.
Therefore, the area of this figure is 1,416 cm².