Q
QuestionMathematics

find the measures of all sides of a polygon that are in the ratio 7:8:11:13:15
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Answer

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Step 1:
Assign variables for the side lengths

7x,\ 8x,\ 11x,\ 13x,\ 15x
Let the common ratio multiplier be x. The sides are 7x, 8x, 11x, 13x, and 15x.

Step 2:
Express the measures symbolically

a_1 = 7x,\ a_2 = 8x,\ a_3 = 11x,\ a_4 = 13x,\ a_5 = 15x
Each side is expressed in terms of x, since the actual length is not provided.

Final Answer

7x,\ 8x,\ 11x,\ 13x,\ 15x
The measures of the sides are 7x, 8x, 11x, 13x, and 15x, where x is any positive real number.