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$AE$ divides rectangle $ABCD$ into two parts such that the ratio of the area of $\triangle ADE$ to the area of quadrilateral $ABCE$ is 1:4. Find the ratio of $DE$ to $EC$. Express your answer as a common fraction.

 

 Jan 2, 2024
 #1
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4 *Area of ADE  =  (1/2) AD * DE = 

Area of quadrilateral ABCE  = (1/2)(AD) (AB + EC)

 

 

4 (1/2) AD * DE  = (1/2) (AD) (AB + EC)

 

4DE = AB + EC

 

4DE = (DE + EC) + EC

 

3 DE = 2 EC

 

DE / EC  =  2 / 3

 

 

cool cool cool

 Jan 3, 2024

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