find the area of the figure.

Explanation:

Step1: Divide the figure into two parts

Divide the figure into a rectangle and a triangle. The rectangle has length 4 in and width 2 in. The triangle has base $4 + 5=9$ in and height $5 - 2 = 3$ in.

Step2: Calculate the area of the rectangle

The area formula for a rectangle is $A_{rect}=l\times w$. Here, $l = 4$ in and $w = 2$ in, so $A_{rect}=4\times2=8$ in².

Step3: Calculate the area of the triangle

The area formula for a triangle is $A_{tri}=\frac{1}{2}\times b\times h$. Here, $b = 9$ in and $h = 3$ in, so $A_{tri}=\frac{1}{2}\times9\times3=\frac{27}{2}=13.5$ in².

Step4: Calculate the total area

The total area of the figure $A = A_{rect}+A_{tri}$. So $A=8 + 13.5=21.5$ in².

Answer:

$21.5$ in²