Divide the given figure into recognizable polygons.
36 square units
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. Let's draw a diagram with the dimensions we need to calculate the area of the rectangle and the area of the triangle and review the formulas for areas of those figures.
In the diagram, we can see that the length and the width of the rectangle are 4 units and 6 units, respectively. We can also see that the base of the triangle is 6 units and its height is 4 units. Let's see the figures separately with the dimensions labeled!
To find the area of the rectangle, we will substitute w= 6 and l= 4 into the formula for the area of a rectangle.
The area of the rectangle is 24 square units. To find the area of the triangle, we will substitute b= 6 and h=4 into the formula for the area of a triangle and simplify.
The area of the triangle is 12 square units. We now know the areas of both the rectangle and the triangle!
To find the total area of the figure, we can add these two values.
Area of the Figure
24+12=36square units
The total area of the figure is 36 square units.
