The perimeter of a polygon with sides of integer length is 45. If the smallest side of the polygon is 5 and the longest side of the polygon is 10, then the number of sides could be any number from	Select:	A) 5 to 7	B) 5 to 8	C) 5 to 9	D) 6 to 8	E) 6 to 9
The sum of the length of the remaining sides must be 45 - (5 + 10)= 
<gadget id="calculator">45 - (5 + 10)</gadget>
<output>30</output>
30.   We can have 5-sided polygon {5,10, 10, 10,10} (we cannot increase the length of any side to reduce the number of sides);   We can have 6-sided polygon {5,5, 5, 10, 10,10};   We can have 7-sided polygon {5,5, 5, 5, 5, 10,10};   We can have 8-sided polygon {5,5, 5, 5, 5, 5, 5,10} (we cannot decrease the length of any side to increase the number of sides).   Answer: 5 to 8.
<result>B</result>
The perimeter of a polygon with sides of integer length is 45. If the smallest side of the polygon is 5 and the longest side of the polygon is 10, then the number of sides could be any number from