Question 1062766
 {{{ perimeter = base_1 + leg_1 + base_2 + leg_2 }}}

The given information is :

   base_1 = 68
   base_2 = 54
   perimeter = 176
   The information that it is isosceles tells you leg_1 = leg_2

—

    {{{  176 = 68 + 54 + leg_1 + leg_2 }}}
    {{{  176 = 122 + 2(leg_1) }}}    ( because the legs are equal in length)
    {{{  54 = 2(leg_1) }}}
    {{{  27 = leg_1 }}}

___

Ans:  Each leg is  {{{highlight(27)}}} meters long

___
Check:  27*2 + 54 + 68 = 54 + 54 + 68 = 176 (= given perimeter, so its ok)