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If AD = 3x, AE = 5x, EB = y and DC = 5y, what is the ratio o
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02 Feb 2020, 09:31
02 Feb 2020, 09:31
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If AD = 3x, AE = 5x, EB = y and DC = 5y, what is the ratio of the area of triangle DEC to the area of rectangle ABCD ?
Screenshot from 2020-02-02 23-29-52.png [ 25.07 KiB | Viewed 1834 times ]
A. 2:7
B. 1:3
C. 2:5
D. 1:2
E. 3:5
Attachment:
Screenshot from 2020-02-02 23-29-52.png [ 25.07 KiB | Viewed 1834 times ]
A. 2:7
B. 1:3
C. 2:5
D. 1:2
E. 3:5
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Re: If AD = 3x, AE = 5x, EB = y and DC = 5y, what is the ratio o
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02 Feb 2020, 11:30
02 Feb 2020, 11:30
huda wrote:
If AD = 3x, AE = 5x, EB = y and DC = 5y, what is the ratio of the area of triangle DEC to the area of rectangle ABCD ?
A. 2:7
B. 1:3
C. 2:5
D. 1:2
E. 3:5
Attachment:
Screenshot from 2020-02-02 23-29-52.png
A. 2:7
B. 1:3
C. 2:5
D. 1:2
E. 3:5
In this question, you can always do the following:
Step 1: Find area of rectangle ABCD in terms of x (Use AB = 5x + y = CD = 5y)
Step 2: Find area of triangle AED in terms of x
Step 3: Find area of triangle BEC in terms of x (Use BC = AD = 3x)
Step 4: Subtract areas of AED and BEC from ABCD to find area of triangle DEC
Step 5: Find required ratio
However, there is a way simpler method:
Area of triangle DEC = 1/2 * Base * Height = 1/2 * CD * AD = 1/2 * Area of ABCD
(Note: Height of the triangle = height of the rectangle = AD)
Thus, required ratio of the triangle to the rectangle = 1 : 2
Answer D
gmatclubot
Re: If AD = 3x, AE = 5x, EB = y and DC = 5y, what is the ratio o [#permalink]
02 Feb 2020, 11:30
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