In a rectangle ABCD , point E is on side CD. The area of triangle ADE is one-fourth of the area of quadrilateral ABCE. What is the ratio of the length of segment DE to the length of segment DC? Express your answer as a common fraction.
+2407 If you draw it out, you notce that the area of the rectangle is DC * AD, and that area of ADE = AD*DE/2
So ADE is 1/4 of ABCD
AD*DE/2*4 = DC * AD
AD*DE*2 = DC * AD
DE*2 = DC
So our answer is 1/2 since DE is 1/2 of DC.
=^._.^=
+1641 In a rectangle ABCD, point E is on the side CD. The area of triangle ADE is one-fourth of the area of quadrilateral ABCE. What is the ratio of the length of segment DE to the length of segment DC? Express your answer as a common fraction.
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The ratio of [ADE] to [ABCE] is 1 : 4
Let the sides of a rectangle ABCD be 1 and 5 ( [ABCD] = 5)
DE = 2 and DC = 5
The ratio of DE to DC is 2/5
