An isosceles triangle has two equal long and opposite sides and one short base.
The long sides are 5 more than the short base (4x-2) hence each long side is (4x-2)+5 which is simplified to 4x+3.
Keep the perimeter as a hint because it is the total of all the sides, this gives x.
Make the equation
4x+3+4x+3+4x-2 = 64
Simplify
12x+4=64
x=60/12
x=5
The length of one long side is (4*5+4)=24
I hope it’s correct because I’m not sure if they saying that both the sides are 5 inches longer or each of the longer sides are 5 inches longer. It would make a difference.
Hopefully this helped
