How to set it up in an algebra equation?

The three sides of an equilateral triangle are increased by 20 cm, 30 cm, and 40 cm, respectively. The perimeter of the resulting triangle is between twice and three times the perimeter of the original triangle. What can you conclude about the length of a side of the original triangle?How to set it up in an algebra equation?
?Initial perimeter (Pi) of the equilateral triangle is:?Pi = x + x + x = 3x



?The new perimeter (P?) of the new triangle is:



?????P? = (x + 20) + (x + 30) + (x + 40) = 3x + 90



?Since P? is between twice and three times Pi :?2(Pi) %26lt; P? %26lt; 3(Pi)



?then???????P? %26lt; 3(Pi)???and????P? %26gt; 2(Pi)

?????3x + 90 %26lt; 3(3x)??????????3x + 90 %26gt; 2(3x)

?????3x + 90 %26lt; 9x?????????????3x + 90 %26gt; 6x

???????-6x %26lt; -90???????????-3x %26gt; -90

???????x %26gt; 15 cm???????????????x %26lt; 30 cm



?so %26quot;??x??%26quot; must be between 15 cm and 30 cm.

web hosting servers

horses