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In the figure, ABCD is a rectangle and E is a point on the s
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03 Oct 2018, 07:51
03 Oct 2018, 07:51
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97% (00:59) correct
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#GREpracticequestion In the figure, ABCD is a rectangle and E .jpg [ 29.54 KiB | Viewed 6486 times ]
In the figure, ABCD is a rectangle and E is a point on the side AB. If AB = 10 and AD = 5, what is the area of the shaded region in the figure?
(A) 25
(B) 30
(C) 35
(D) 40
(E) 45
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Re: In the figure, ABCD is a rectangle and E is a point on the s
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03 Oct 2018, 10:03
03 Oct 2018, 10:03
1
Carcass wrote:
Attachment:
rectangle.jpg
In the figure, ABCD is a rectangle and E is a point on the side AB. If AB = 10 and AD = 5, what is the area of the shaded region in the figure?
(A) 25
(B) 30
(C) 35
(D) 40
(E) 45
Area of rectangle = (base)(height)
So, area of rectangle ABCD = (10)(5) = 50
Now let's calculate the area of the UNSHADED triangle DEC
Why?
Once we know the area of the UNSHADED portion, we can subtract it from 50 to get the area of the SHADED portion.
Area of triangle = (base)(height)/2
So, area of ∆DEC = (10)(5)/2 = 25
Area of SHADED portion = (Area of rectangle) - (Area of UNSHADED portion)
So, area of SHADED portion = 50 - 25
= 25
Answer: A
Cheers,
Brent
gmatclubot
Re: In the figure, ABCD is a rectangle and E is a point on the s [#permalink]
03 Oct 2018, 10:03
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