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Regular hexagons P and Q are shown.
2 cm
6 cm
Q
P
How do the areas of hexagons Pand compare?
O A The area of Pis 3 times the area of Q.
OB. The area of Pis 9 times the area of 0.
OC. The area of Pis 12 times the area of Q.
OD. The area of Pis 18 times the area of Q.

Regular hexagons P and Q are shown 2 cm 6 cm Q P How do the areas of hexagons Pand compare O A The area of Pis 3 times the area of Q OB The area of Pis 9 times class=

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sqdancefan

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Answer:

  B.  The area of P is 9 times the area of Q.

Step-by-step explanation:

The areas of similar figures are related by the square of the scale factor of their linear dimensions. The ratio of side lengths is ...

  side of P : side of Q = 6 : 2 = 3 : 1

So, the ratio of areas is ...

  area of P : area of Q = 3² : 1² = 9 : 1

The area of P is 9 times that of Q.