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# 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

$\cfrac { 5 }{ 6 }$