Question

what is the area of this figure?
3 mm
8 mm
2 mm
2 mm
7 mm
8 mm
2 mm
6 mm
write your answer using decimals, if necessary.
square millimeters

Explanation:

Step1: Calculate area of top rectangle

The top rectangle has length 8 mm and width 2 mm. Area is length × width.
$\text{Area}_1 = 8 \times 2 = 16$ square mm

Step2: Calculate area of bottom rectangle

The bottom rectangle has length 6 mm and total height $2 + 7 = 9$ mm.
$\text{Area}_2 = 6 \times 9 = 54$ square mm

Step3: Calculate area of triangle

The triangle has base $8$ mm and height $3 + 2 + 7 = 12$ mm. Area is $\frac{1}{2} \times \text{base} \times \text{height}$.
$\text{Area}_3 = \frac{1}{2} \times 8 \times 12 = 48$ square mm

Step4: Sum all areas

Add the areas of the three shapes together.
$\text{Total Area} = 16 + 54 + 48$

Answer:

118 square millimeters