Answer:
264 cm²
Explanation:
You want the area of a polygon composed of a 12 cm square with triangles of height 5 cm attached to each side.
Square area
The area of the square is the square of its side lenght:
A = s²
A = (12 cm)² = 144 cm²
Triangle area
The area of the four triangles is ...
A = 4 × (1/2bh)
A = 4 × 1/2(12 cm)(5 cm) = 120 cm²
Total area
The total area of the composite figure is ...
A = square area + triangle area
A = 144 cm² +120 cm² = 264 cm²
The area of the polygon is 264 cm².
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