Question

what is the area of this figure?
3 in
3 in
2 in
15 in
8 in
3 in
4 in
8 in
square inches

Explanation:

Step1: Split into 3 rectangles

Divide the figure into three vertical rectangles.

Step2: Find widths of rectangles

Right rectangle width: $3$ in
Middle rectangle width: $8-3-3=2$ in
Left rectangle width: $3$ in

Step3: Find heights of rectangles

Left rectangle height: $15$ in
Middle rectangle height: $15-3=12$ in
Right rectangle height: $4$ in

Step4: Calculate each rectangle area

Left area: $3\times15=45$ in²
Middle area: $2\times12=24$ in²
Right area: $3\times4=12$ in²

Step5: Sum all areas

Total area: $45+24+12$

Answer:

81 square inches