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Tems11 [23]
2 years ago
5

GEOMETRY- FIND POLYGON AREA

Mathematics
1 answer:
Dvinal [7]2 years ago
5 0

Answer:

Step-by-step explanation:

The area of a regular polygon is

A=\frac{1}{2}ap where a is the apothem and p is the perimeter. Perimeter is simple: just count the number of sides the polygon has and multiply it by 3 (the length of one side).

p = 3(9) is 27 inches for the perimeter.

We have what we need now to find the area:

A=\frac{1}{2}(4.1)(27) and

A=\frac{1}{2}( 110.7) so

A = 55.35 square inches

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PilotLPTM [1.2K]

A square's diagonal has a length equal to √(2) times the length of its sides. So if the side length is <em>x</em>, then the diagonal is such that

√(2) <em>x</em> = 10 cm

→   <em>x</em> = 10/√(2) cm ≈ 7.07 cm

The perimeter of a square is 4 times its side length, so the perimeter is

4 (10/√(2) cm) = 40/√(2) cm ≈ 28.3 cm

which makes 28.4 cm the closest answer.

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