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Sedbober [7]
3 years ago
9

One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the perimeter

of the smaller polygon to the larger is
Mathematics
1 answer:
Alika [10]3 years ago
8 0
This is the concept of proportionality;we are required to find the ratio of perimeter of smaller polygon to larger polygon.
To solve the question we need to know that since the length of the corresponding sides of each polygon is equal, the ratio of their perimeters is the the same as the ratio of the sides;
thus
[perimeter of small polygon]/[perimeter of larger polygon]=[side length of small polygon]/[side length of larger polygon]
thus  the ratio will be:
2/4=1/2
the answer is 1/2

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Alright, lets get started.

Lets check each possible answer one by one.

We will start from option B.

BC is from small triangle and its corresponding side is DF, so its ratio will be \frac{4}{5} not \frac{5}{4} as given in option. Hence option B is incorrect.

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Angle a° and angle f° are not similar angles, if they were similar, then only their ratio will be 1 otherwise not 1. Hence option C is incorrect.

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ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be \frac{ED}{AB} =  \frac{5}{4}. Hence option A is correct answer.

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