The trapezoid shown has a height of length 12 cm a base of length 16 cm, and an area of 144 cm.What is the perimeter of the trapezoid?
Area = (h/2) ( sum of bases)
144 = (12/2) ( 16 + x)
144 = 6 ( 16 + x)
144/6= 16 + x
24 = 16 + x
x = 8 = top base
Right edge = sqrt [ (16 - 8)^2 + 12^2 ] = sqrt [ 8^2 + 12^2 ] = sqrt [ 208] = 4sqrt (13)
Perimeter = 12 + 16 + 8 + 4sqrt (13) =
[36 + 4sqrt (13)] cm
