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Helga [31]
3 years ago
6

The sides of a hexagon are 2, 3, 2, 4, 7, and 6. Find the perimeter of a similar hexagon with two sides of length 3.

Mathematics
2 answers:
Arturiano [62]3 years ago
8 0

Answer:

36

Step-by-step explanation:

The previous answerer forgot to add the two 3's to the sum so the correct answer it 36

Basile [38]3 years ago
6 0

The first hexagon: 2, 2, 3, 4, 6, 7

The second hexagon: 3, 3, a, b, c, d

The hexagons are similar. Therefore the sides are in proportion.

\dfrac{a}{3}=\dfrac{3}{2}     <em>multiply both sides by 3</em>

a=\dfrac{3}{2}=4.5

\dfrac{b}{4}=\dfrac{3}{2}    <em>multiply both sides by 4</em>

b=\dfrac{3}{2}\cdot4=6

\dfrac{c}{6}=\dfrac{3}{2}     <em>multiply both sides by 6</em>

c=\dfrac{3}{2}\cdot6=9

\dfrac{d}{7}=\dfrac{3}{2}    <em>multiply both sides by 7</em>

d=\dfrac{21}{2}=10.5

The perimeter:

P=4.5+6+9+10.5=30

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