The length of the base of an isosceles triangle is 4 inches less than the length of one of the two equal sides of the triangles. if the perimeter is 32, find the three sides of the triangle. if x represents one of the equal sides of the triangle, then which equation can be used to solve the problem?

Let: 
 
Base = 8 inches and the other two sides are 12 inches each. 
x = length of the triangle 
y = length of one of the other two sides of the triangle 

Therefore,perimeter==> 32 = x + y + y 
==>x + 2y = 32 
==>x = y - 4 
==>y - 4 + 2y = 32 
==>3y = 36 
==>y = 12 

and solving for "x" 
==>x = 12 - 4 
==>x = 8  
Base = 8 inches and the other two sides are 12 inches each. 

That's all!!