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AB is parallel to CD.
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22 May 2017, 01:47
22 May 2017, 01:47
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68% (01:03) correct
31% (01:14) wrong based on 270 sessions
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AB is parallel to CD.
AD is parallel to BC.
2AD = EG
Quantity A |
Quantity B |
The area of ABCD |
The area of EFG |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: AB is parallel to CD.
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22 May 2017, 07:20
22 May 2017, 07:20
2
Carcass wrote:
AB is parallel to CD.
AD is parallel to BC.
2AD = EG
Quantity A |
Quantity B |
The area of ABCD |
The area of EFG |
The given information tells us that ABCD is a parallelogram, which means the area = (base)(height)
Let x = the length of the base (AD)
We're told that L = the height of the parallelogram
So, the area of ABCD = (x)(L)
Area of triangle = (base)(height)/2
Given: 2AD = EG
We already let x = the length of AD
So, EG = 2x
In other words, the length of the triangle's base = 2x
We're told that L = the height of the triangle
So, the area of triangle EFG = (L)(2x)/2 = (L)(x)
We have:
Quantity A: (x)(L)
Quantity B: (L)(x)
Answer:
Show: ::
C
Cheers,
Brent
