Given the two similar octagons
1 answer:
The perimeter of the bigger octagon that is similar to the smaller one is: 238 units.
<h3>What is an Octagon?</h3>An octagon can be described as a polygon that has 8 sides and 8 angles.
What are Similar Octagons?
Octagons are referred to as similar to each other if they have the same angle measure but corresponding sides that are proportional to each other. That is, they have the same shape but different sizes.
How to Find the Perimeter of Similar Polygons?
Given the two octagons in the diagram are similar, and:
Perimeter of the smaller octagon = 34 units
A side of the smaller octagon = 4 units
Perimeter of the bigger octagon = ?
A corresponding side of the bigger octagon = 28 units
Therefore:
Perimeter of the smaller octagon/Perimeter of the bigger octagon = side of the smaller octagon/corresponding side of the bigger octagon
Plug in the values
34/Perimeter of the bigger octagon = 4/28
Perimeter of the bigger octagon = (28 × 34)/4
Perimeter of the bigger octagon = 238 units.
In summary, the perimeter of the bigger octagon is: 238 units.
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<em>Note: you may have unintentionally missed to add the complete question. Therefore, after a little research, I am able to find the complete question which I am attaching to solve your query, which anyways would clear your concept. </em>
The complete Question:
Keenan gives Tisha half of his strawberries. Tisha keeps 4 of the strawberries she got from Keenan and gives the rest to Suvi.
a) Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.
b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.
Answer:
Part a)
An expression for the number of strawberries Tisha gives to Suvi will be:<em> </em>
Part b)
Keenan could not have started with 6 strawberries
Step-by-step explanation:
Part a) <em>Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.</em>
Let be the total number of strawberries which Keenan has.
So,
is the number of strawberries Keenan gave to Tisha.
As Tisha keeps 4 strawberries and gives the rest to Suvi. Let be the number of strawberries which Suvi has.
So,
Therefore, an expression for the number of strawberries Tisha gives to Suvi will be:<em> </em>
b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.
Considering the expression for the number of strawberries Tisha gives to Suvi
Putting in the expression
Solving the expression
∵
So, Keenan would have started with 6 strawberries, then Suvi would have -1 strawberries. Since, strawberries cannot be negative as Suvi cannot have negative number of strawberries.
Therefore, Keenan could not have started with 6 strawberries.
Keywords: word problem, expression
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