The perimeter of parallelogram CDEF is 54 centimeters. Find the length of segment FC if segment DE is 5 centimeters longer than segment EF? (Hint: Sketch and label a diagram first.)

1 Answer
May 15, 2018

FC = 16 cmenter image source here

Explanation:

See the attached diagram:

EF = x cm
DE = x+5 cm
DC = EF
DE = FC

Perimiter,p = 2(a+b) = 2(EF+DE)

54=2(x+x+5)
54=2(2x+5)
54=4x+10
5410=4x
44=4x
x=444
x=11
That means Side DE = x+5 = 11+5=16 cm

Since Side DE = FC, therefore FC = 16 cm

Checking the answer:
2(11+16)
2×27=54