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The parallelogram ABCD is such that AB=4cm, AD=3cm and the length of

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Manager
Joined: 13 Aug 2018
Posts: 62
The parallelogram ABCD is such that AB=4cm, AD=3cm and the length of  [#permalink]

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Updated on: 27 Feb 2019, 05:49
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65% (hard)

Question Stats:

49% (02:07) correct 51% (02:25) wrong based on 45 sessions

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The parallelogram ABCD is such that AB=4cm, AD=3cm and the length of the perpendicular from D to AB is 1.5cm. Find the length of the perpendicular from D to BC?

a) 1.5 cm
b) 2 cm
c) 3 cm
d) 4 cm
e) 6 cm

Originally posted by jackfr2 on 27 Feb 2019, 05:29.
Last edited by Bunuel on 27 Feb 2019, 05:49, edited 1 time in total.
Renamed the topic and edited the question.
Intern
Joined: 13 Feb 2019
Posts: 1
Re: The parallelogram ABCD is such that AB=4cm, AD=3cm and the length of  [#permalink]

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09 Mar 2019, 07:28
1
Area of the ||logram ABCD = base * height
Base AB * Height ( length of perpendicular from D to base AB) = 4 * 1.5 = 6
but this is also equal to Base BC * ( length of perpendicular from D to base BC ) = 3 * x

this implies x = 6/3 = 2.
Intern
Joined: 19 Apr 2017
Posts: 21
Location: Brazil
Concentration: Finance, Entrepreneurship
GPA: 3
Re: The parallelogram ABCD is such that AB=4cm, AD=3cm and the length of  [#permalink]

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09 Mar 2019, 12:05
1
S = h*AB
S = 1.5*4
S = 6cm²

S = x*BC
6 = x*3
x = 2cm
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Manager
Joined: 28 Jan 2019
Posts: 96
Location: India
GMAT 1: 700 Q49 V36
GPA: 4
WE: Manufacturing and Production (Manufacturing)
Re: The parallelogram ABCD is such that AB=4cm, AD=3cm and the length of  [#permalink]

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27 Feb 2019, 23:20
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"Luck is when preparation meets opportunity!"
Intern
Joined: 22 Sep 2018
Posts: 23
Re: The parallelogram ABCD is such that AB=4cm, AD=3cm and the length of  [#permalink]

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08 Mar 2019, 21:44
Bunuel, @chetanu can you pls answer this question
Manager
Joined: 29 Jan 2019
Posts: 82
Location: India
GPA: 4
Re: The parallelogram ABCD is such that AB=4cm, AD=3cm and the length of  [#permalink]

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09 Mar 2019, 07:32
It is not a 700-level question.
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Joined: 25 Feb 2019
Posts: 333
Re: The parallelogram ABCD is such that AB=4cm, AD=3cm and the length of  [#permalink]

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09 Mar 2019, 07:39
we need to equat the area of parallelogram with base AB to base BC .

so 1.5*AB= BC*h
1.5*4= 3*h

so h = 2

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Re: The parallelogram ABCD is such that AB=4cm, AD=3cm and the length of   [#permalink] 09 Mar 2019, 07:39
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