Find the lengths of each side

P of Δ = length of side1 + length of side2 + length of side3

Let's assume that length of side2 is "**x**" miles.

then length of side1 will be "**2x - 5**" miles and

length of side3 is "** 2x - 5 + 2** "= "

**2x -3**" miles

P = x + (2x - 5) + (2x - 3) = 47

5x - 8 = 47 ---> 5x = 55 --->

**x = 11**← length of

**side2**in miles

length of

**side1**will be 2 · 11 - 5 =

**17 miles**

length of

**side3**is 17 + 2 =

**19 miles**

*Now, let's check the answer: P = 17 + 19 + 11 = 47 miles*