Answer
AB=36 cm; BC=18 cm; CD=9 cm; DE=9 cm
Work Step by Step
Set DE and CD equal to x. Therefore, BC=2x and AB=4x by the extended ratio.
You are given AE=72 and can see from the diagram that AB+BC+CD+DE=AE. Substitute in from above.
4x+2x+x+x=72
8x=72
x=9
Look back at the first step, substituting 9 in for x to get your measurements.
AB=4x=4(9)=36
BC=2x=2(9)=18
CD=x=9
DE=x=9
