Question

what is the area of this figure? write your answer using decimals, if necessary. square millimeters

Explanation:

Step1: Divide the figure into a rectangle and a triangle

We can consider the vertical - part as a rectangle and the slanted - part as a triangle.

Step2: Calculate the area of the rectangle

The rectangle has a length of 13 mm and a width of 5 mm. The area of a rectangle $A_{r}=l\times w$. So, $A_{r}=13\times5 = 65$ square mm.

Step3: Calculate the base and height of the triangle

The base of the triangle $b = 9$ mm and the height of the triangle $h=4$ mm.

Step4: Calculate the area of the triangle

The area of a triangle $A_{t}=\frac{1}{2}\times b\times h$. So, $A_{t}=\frac{1}{2}\times9\times4=18$ square mm.

Step5: Calculate the total area of the figure

The total area $A = A_{r}+A_{t}$. So, $A=65 + 18=83$ square mm.

Answer:

83 square mm