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Moderate

Triangle Area Ratios

ACTMAT-1GLVQV

In the figure below, $AE = 50$ cm, $AD = 40$ cm, $DE = 30$ cm, and $DB = 60$ cm.

What is the ratio of the area of $ {\Delta}ADE $ to $ {\Delta}ACB $?

A

$ \cfrac { 1 }{ 4 } $

B

$ \cfrac { 4 }{ 9 } $

C

$ \cfrac { 1 }{ 2 } $

D

$ \cfrac { 2 }{ 3 } $

E

$ \cfrac { 5 }{ 6 } $