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In the figure, ABCD and ABEC are parallelograms. The area of
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24 Mar 2019, 00:12
24 Mar 2019, 00:12
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73% (01:07) correct
26% (01:12) wrong based on 42 sessions
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#GREpracticequestion In the figure, ABCD and ABEC.jpg [ 24.98 KiB | Viewed 4937 times ]
In the figure, ABCD and ABEC are parallelograms. The area of the quadrilateral ABED is 6. What is the area of the parallelogram ABCD ?
(A) 2
(B) 4
(C) 4.5
(D) 5
(E) 6
Re: In the figure, ABCD and ABEC are parallelograms. The area of
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10 Sep 2019, 00:02
10 Sep 2019, 00:02
3
We can observe that AB = DC = CE (opposite sides of a parallelogram are equal) let us take that value as x.
Now, the area of a trapezoid is 0.5*(d1 + d2)* h, where d1 and d2 are the parallel sides and h is the height. Therefore, the area of ABED = 6 = 0.5(x + 2x) * h.
Simplifying the equation, we get 3*x*h = 12, which means x*h = 4, which is the area of the parallelogram. Therefore, the answer is B
Now, the area of a trapezoid is 0.5*(d1 + d2)* h, where d1 and d2 are the parallel sides and h is the height. Therefore, the area of ABED = 6 = 0.5(x + 2x) * h.
Simplifying the equation, we get 3*x*h = 12, which means x*h = 4, which is the area of the parallelogram. Therefore, the answer is B
Re: In the figure, ABCD and ABEC are parallelograms. The area of
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27 May 2022, 05:39
27 May 2022, 05:39
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