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If polygon ABCDE above has perimeter 26 and equilateral tria
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10 Feb 2020, 09:34
10 Feb 2020, 09:34
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66% (01:10) correct
33% (01:01) wrong based on 42 sessions
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#greprepclub If polygon ABCDE above has perimeter 26.jpg [ 9.89 KiB | Viewed 3271 times ]
If polygon ABCDE above has perimeter 26 and equilateral triangle BCD has perimeter 18, what is the area of rectangular region ABDE?
(A) 6
(B) 12
(C) 24
(D) 32
(E) 48
Kudos for the right answer and explanation
Re: If polygon ABCDE above has perimeter 26 and equilateral tria
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20 May 2020, 05:23
20 May 2020, 05:23
Carcass wrote:
Attachment:
#greprepclub If polygon ABCDE above has perimeter 26.jpg
If polygon ABCDE above has perimeter 26 and equilateral triangle BCD has perimeter 18, what is the area of rectangular region ABDE?
(A) 6
(B) 12
(C) 24
(D) 32
(E) 48
Kudos for the right answer and explanation
Can someone explain it?
Re: If polygon ABCDE above has perimeter 26 and equilateral tria
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20 May 2020, 08:18
20 May 2020, 08:18
2
BCD is equilateral triangle --> all sides are equal
Perimter = 3(side)
3(side) = 18
side= 6
each side of triangle = 6
BD = 6
Perimeter of ABCDE is = AE+ED+DC+CB+AB
(AE=BD=6) and (AB=ED) --> opposite sides of rectangle are equal
BD=DC=CB=6 (sides of equilateral traingle)
Perimeter of Polygon ABCDE = 26
AE+ED+DC+CB+AB = 26
6+ED+6+6+AB = 26
ED+AB=8
(AB=ED)
2(AB) = 8
AB= 4
Area of rectangle = ABXBD
4X6
24
Hence, C is the Answer.
Perimter = 3(side)
3(side) = 18
side= 6
each side of triangle = 6
BD = 6
Perimeter of ABCDE is = AE+ED+DC+CB+AB
(AE=BD=6) and (AB=ED) --> opposite sides of rectangle are equal
BD=DC=CB=6 (sides of equilateral traingle)
Perimeter of Polygon ABCDE = 26
AE+ED+DC+CB+AB = 26
6+ED+6+6+AB = 26
ED+AB=8
(AB=ED)
2(AB) = 8
AB= 4
Area of rectangle = ABXBD
4X6
24
Hence, C is the Answer.
