9514 1404 393
Answer:
288 cm²
Step-by-step explanation:
The figure decomposes into two rectangles and a triangle.
It is helpful to realize the overall horizontal length of the figure is 16+10+6 = 32 cm. That means the triangle at lower left has a width of 32-13 = 19 cm. Of course the bottom rectangle has a width of 10+6 = 16 cm.
The upper rectangle has an area of ...
A = LW = (6 cm)(4 cm) = 24 cm²
The lower rectangle has an area of ...
A = LW = (16 cm)(7 cm) = 112 cm²
The triangle has an area of ...
A = 1/2bh = 1/2(19 cm)(16 cm) = 152 cm²
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Then the total area of the figure is ...
24 cm² +112 cm² +152 cm² = 288 cm²
