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what is the area of this figure? 9 in 2 in 4 in 4 in 3 in 11 in 5 in 2 …

Question

what is the area of this figure? 9 in 2 in 4 in 4 in 3 in 11 in 5 in 2 in

Explanation:

Step1: Split into 3 rectangles

Divide the figure into three separate rectangles to calculate individual areas.

Step2: Find dimensions of Rect1

Top rectangle: length $9$ in, width $2$ in.
Area: $9 \times 2 = 18$ in²

Step3: Find dimensions of Rect2

Middle rectangle: length $9 - 4 = 5$ in, width $11 - 2 - 5 = 4$ in.
Area: $5 \times 4 = 20$ in²

Step4: Find dimensions of Rect3

Bottom rectangle: length $5$ in, width $2$ in.
Area: $5 \times 2 = 10$ in²

Step5: Sum all areas

Add the areas of the three rectangles.
Total Area: $18 + 20 + 10$

Answer:

48 square inches