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Find the are of the polygon

Find the are of the polygon-example-1

1 Answer

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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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User Amrit Sidhu
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