Question

what is the area of this figure?
square kilometers
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work it out

Explanation:

Step1: Split figure into 3 rectangles

We can divide the shape into three separate rectangles to calculate their areas individually.

Step2: Calculate area of top rectangle

Dimensions: $12\ \text{km} \times 3\ \text{km}$
Area: $12 \times 3 = 36\ \text{km}^2$

Step3: Calculate area of middle rectangle

Width: $12 - 8 = 4\ \text{km}$, Height: $6 - 3 = 3\ \text{km}$
Area: $4 \times 3 = 12\ \text{km}^2$

Step4: Calculate area of bottom rectangle

Dimensions: $9\ \text{km} \times 4\ \text{km}$
Area: $9 \times 4 = 36\ \text{km}^2$

Step5: Sum all rectangle areas

Total Area: $36 + 12 + 36$

Answer:

$84$ square kilometers