Divide the given figure into recognizable polygons.
126.5cm^2
Practice makes perfect
Before we try to find the area of the given figure, notice that the figure can be divided into a rectangle and a triangle.
In the diagram, we can see that the length and width of the rectangle are 8 centimeters and 11 centimeters, respectively. We can also see that 11 centimeters is the base of the triangle and 7 centimeters is the height. Let's see the figures separately with all their dimensions labeled!
To find the area of the rectangle, we will substitute w= 11 and l= 8 into the formula for the area of a rectangle.
The area of the rectangle is 88square centimeters. To find the area of the triangle, we will substitute b= 11 and h= 7 into the formula for the area of a triangle, and simplify.
The area of the triangle is 38.5 square centimeters. We now know the areas of both the rectangle and the triangle.
To find the total area of the figure, we add these two values.
Area of the Figure
88+38.5=126.5cm^2
The total area of the figure is 126.5 square centimeters.
