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Bunuel
In parallelogram ABCD, AB = x + 4, BC = x – 6, and CD = 2x – 16. Find AD.

(A) 28
(B) 24
(C) 20
(D) 14
(E) 10
AB = CD
x + 4 = 2x - 16
x = 20
AD = BC = x - 6 = 20 - 6 = 14

Answer D.
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Explanation:
In ||gm , oppsite sides are equal So, AB = CD ; AD = BC
AB = CD
x+4 = 2x-16
x=20
So, BC = x-6
= 20 - 6 =14
As, AD=BC, So AD = 14

IMO-D
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SOLUTION:

In a parallelogram; AB = CD and AD = BC
From what is given to us, we can assume-
x+4 = 2x-16
x=20

So, BC = x-6=20-6
=14
BC = AD
Thus AD = 14(D)
Hope this helps :thumbsup:
Devmitra Sen(Math)
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Bunuel
In parallelogram ABCD, AB = x + 4, BC = x – 6, and CD = 2x – 16. Find AD.

(A) 28
(B) 24
(C) 20
(D) 14
(E) 10

Opposite sides of Parallelogram are equal:

\(AB=CD\)

\(x+4=2x-16\)

\(x=20\)

\(AD=BC\)

\(BC=x-6\)
\(BC=20-6=14\)

So, \(AD=14\)

The answer is \(D\)
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what is the difficulty level of this question? please reply

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Hadiagh
what is the difficulty level of this question? please reply

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You can check the difficulty level of a question in the tags just above the first post. You can also check the stats in the original post. For this question the difficulty level is sub-600.
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