IV. Solve the following problem.
1. A hexagon has the following sides 17 cm, 18cm, 19cm, and 20cm. if
the other two sides are congruent and the perimeter of the pentagon
is 102cm, what are the measures of the two other sides?
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IV. Solve the following problem.
1. A hexagon has the following sides 17 cm, 18cm, 19cm, and 20cm. if
the other two sides are congruent and the perimeter of the pentagon
is 102cm, what are the measures of the two other sides?
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Verified answer
PROBLEM:
A hexagon has the following sides 17 cm, 18cm, 19cm, and 20cm. If the other two sides are congruent and the perimeter of the hexagon is 102cm, what are the measures of the two other sides?
SOLUTION:
Hexagon is a six-sided polygon. To get its perimeter, you just need to add all the given measure of its sides.
• The other two sided are known to be congruent, thus they have the same measure. Let's denote them as 2x.
ANSWER:
> The measures of the other two sides is 14 centimeters.
Answer:
14 cm
Step-by-step explanation:
2x + 17 + 18 + 19 + 20 = 102
2x + 35 + 19 + 20 = 102
2x + 54 + 20 = 102
2x + 74 = 102
2x + 74 - 74 = 102 - 74
2x = 28
2x ÷ 2 = 28 ÷ 2
x = 14
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