Notice that the base b is represented in the diagram in terms of the height h.
Expression: A=1/2(h+6)h Solution: 108 in^2
Practice makes perfect
A triangle's area is calculated by multiplying 12 the base by the height.
A=1/2bhAccording to the diagram, the base b is equal to h+6. By substituting this expression for b into the formula, we get an equation for the area in which the only variable is h.
A=1/2( h+6)h
Now we can evaluate the area when h = 12.
We know that the area is the number of square units needed to cover a surface. Since there are so many figures with different shapes, we can have a formula for the area of each figure. Let's see some examples!
Sometimes, we will come across with complex figures without a formula for the area. In that cases, we can follow the next steps.
Break the shape down into simpler figures.
Find the area of each smaller figure. We can use the known formulas for the area.
Add the areas of each smaller figure. The total area will be the area of the complex figure.
For those of you who are interested in learning more about the area of other figures, you can read more about them on the following pages.
