The length of the base of an isosceles triangle is one fourth the length of one of its legs. If the perimeter of the triangle is 16 inches, what is the length of the base?

Answer 1

base of triangle --- x inches
side of triangle ---- 4x inches

4x + 4x + x = 16
9x = 16
x = 16/9

the base is 16/9 inches long

base = 16/9
each side = 64/9
check: 16/9+64/9+64/9
= 144/9 = 16