Q74. - Algebra 1

Question

Find the area of the following figure.

Step-by-Step Solution

Answer

The area of the given figure is $\mathbf{18}{\mathbf{\text{\hspace{0.17em}unit}}}^{\mathbf{2}}$.

Step 1. Given information.

The given figure is a triangle.

So,

The base of the triangle is 4 units and the height of the triangle is 9 units.

Step 2. Write the concept.

The area of the triangle is given by:

$A=\frac{1}{2}\times \text{Base}\times \text{Height}$

Step 3. Determine the area.

The area of the triangle is:

$\begin{array}{l}A=\frac{1}{2}\times \text{Base}\times \text{Height}\\ =\frac{1}{2}\times 4\times 9\\ =2\times 9\\ =18{\text{\hspace{0.17em}unit}}^2\end{array}$