Question

what is the area of this figure?
2 mm
4 mm
6 mm
13 mm
9 mm
7 mm
5 mm
6 mm
square millimeters

Explanation:

Step1: Split into 3 rectangles

Divide the figure into three separate rectangular sections.

Step2: Find dimensions of Rect1

Height: $6 - 4 = 2$ mm, Width: $2$ mm
Area: $2 \times 2 = 4$ mm²

Step3: Find dimensions of Rect2

Length: $9 + 6 = 15$ mm, Width: $7 - 5 = 2$ mm
Area: $15 \times 2 = 30$ mm²

Step4: Find dimensions of Rect3

Length: $13 - (9 - 2) = 6$ mm, Height: $7$ mm
Area: $6 \times 7 = 42$ mm²

Step5: Sum all rectangle areas

Total Area: $4 + 30 + 42$

Answer:

76 square millimeters