Question

The triangle in the picture shows the top of the entrance to a classical building. How would you write an equation to find the area of this triangle? The width is 22 ft the height is 6 ft.
A = ___ ft.^2

Answer 1

To find the area of a triangle, you can use the formula:

\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]

In your case, the width of the triangle serves as the base, and the height is given as follows:

- Base = 22 ft
- Height = 6 ft

Now, plugging in these values into the formula:

\[
A = \frac{1}{2} \times 22 \times 6
\]

First, calculate the multiplication:

\[
22 \times 6 = 132
\]

Now, multiply by \(\frac{1}{2}\):

\[
A = \frac{1}{2} \times 132 = 66
\]

Thus, the area of the triangle is:

\[
A = 66 \, \text{ft}^2
\]