SOLUTION: If the perimeter of an isosceles trapezoid is 176 meters and the bases are 68 meters and 54 meterd. how long is a leg?

Algebra ->  Rectangles -> SOLUTION: If the perimeter of an isosceles trapezoid is 176 meters and the bases are 68 meters and 54 meterd. how long is a leg?      Log On


   



Question 1062766: If the perimeter of an isosceles trapezoid is 176 meters and the bases are 68 meters and 54 meterd. how long is a leg?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+perimeter+=+base_1+%2B+leg_1+%2B+base_2+%2B+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+%2B+54+%2B+leg_1+%2B+leg_2+
++176+=+122+%2B+2%28leg_1%29+ ( because the legs are equal in length)
++54+=+2%28leg_1%29+
++27+=+leg_1+
___
Ans: Each leg is highlight%2827%29 meters long
___
Check: 27*2 + 54 + 68 = 54 + 54 + 68 = 176 (= given perimeter, so its ok)