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Lelu [443]
3 years ago
12

The Gomez’s deck is shown below. The deck is a regular hexagon. It has a perimeter of 45 units. What is the are of the deck

Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0

Answer:

The area of the deck is of 146.14 squared units.

Step-by-step explanation:

Regular hexagon:

A regular hexagon has 6 sides, all with the same measure.

Perimeter of a regular hexagon:

The perimeter of a regular hexagon with side x is given by:

P_h = 6x

Area of a regular hexagon:

The area of a regular hexagon with side x is given by:

A_h = \frac{3\sqrt{3}x^{2}}{2}

It has a perimeter of 45 units.

This means that:

6x = 45

x = \frac{45}{6}

x = 7.5

What is the are of the deck

A_h = \frac{3\sqrt{3}x^{2}}{2} = \frac{3\sqrt{3}*(7.5)^{2}}{2} = 146.14

The area of the deck is of 146.14 squared units.

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