Question

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.

Answer 1

9514 1404 393

Answer:

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

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.