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Polygon A is similar to polygon B the sides of polygon A are three times larger then the corresponding sides of polygon B the perimeter of p
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Polygon A is similar to polygon B the sides of polygon A are three times larger then the corresponding sides of polygon B the perimeter of polygon A is 144 what is the perimeter of polygon B ?
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Mathematics
3 years
2021-08-08T13:09:12+00:00
2021-08-08T13:09:12+00:00 2 Answers
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Answers ( )
Answer:
Step-by-step explanation:
Perimeter is the sum of the side lengths
If polygon A has perimeter
Then polygon B has perimeter of
Since P = 144
We can write a ratio comparing the sides of both polygons.
A:B = 3:1
Since we know that 144 is the perimeter for polygon A, we can substitute it.
144:B = 3:1
~Simplify
144 = 3B
Divide 3 to both sides
48 = B
Therefore, the perimeter of B is 48 units.
Best of Luck!