Answer:
side 1 : 13 in , side 2 : 29 in , side 3 : 47 in
Explanation:
let side 2 be represented by x , then
side 2 : x
side 1 : 2x + 3
side 3 : 4x - 5
the perimeter is the sum of the 3 sides
given perimeter = 89 in , then sum the 3 sides and equate to 89
x + 2x + 3 + 4x - 5 = 89 ( collect like terms on left side )
7x - 2 = 89 ( add 2 to both sides )
7x = 91 ( divide both sides by 7 )
x = 13
Then
side 1 = 2x + 3 = 2(13) + 3 = 26 + 3 = 29
side 3 = 4x - 5 = 4(13) - 5 = 52 - 5 = 47
the lengths of the 3 sides are 13 in, 29 in and 47 in