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Marina86 [1]
3 years ago
5

The street sign shown is a regular hexagon with side lengths of (7.6x+10.4) centimeters. The perimeter of the sign is 737.28 cen

timeters. Write an equation
Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0

Answer:

Equation:

6(7.6x+10.4)=737.28

Solution:

x=14.8\ centimeters

Step-by-step explanation:

<u>Perimeter of a hexagon </u>

We are given the length of the side of a regular hexagon

l=7.6x+10.4\ centimeters

And we also know the perimeter of the hexagon is

P=737.28\ centimeters

The perimeter of a regular hexagon is 6 times its side, so

P=6l=6(7.6x+10.4)

The equation that will give the relation to solve for x is

6(7.6x+10.4)=737.28

Reducing

7.6x+10.4=122.88

7.6x=122.88-10.4=112.48

\displaystyle x=\frac{112.48}{7.6}

x=14.8\ centimeters

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