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# In the figure above, if the area of the rectangle is equal to the area

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Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128915 [0], given: 12183

In the figure above, if the area of the rectangle is equal to the area [#permalink]

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20 Sep 2017, 22:53
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Question Stats:

78% (00:15) correct 22% (00:14) wrong based on 23 sessions

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In the figure above, if the area of the rectangle is equal to the area of the triangle, then h =

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

[Reveal] Spoiler:
Attachment:

2017-09-20_1021_003.png [ 5.24 KiB | Viewed 232 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 128915 [0], given: 12183

BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 1454

Kudos [?]: 594 [0], given: 16

Location: India
WE: Sales (Retail)
In the figure above, if the area of the rectangle is equal to the area [#permalink]

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21 Sep 2017, 00:46

Area of rectangle : $$8*3 = 24$$
Area of triangle : $$\frac{1}{2}*12*h = 6h$$

Since the area of the rectangle is equal to area of the triangle,
we can say that $$6h = 24$$

Therefore $$h = 4$$(Option D)
_________________

Stay hungry, Stay foolish

Kudos [?]: 594 [0], given: 16

Intern
Joined: 04 Jun 2015
Posts: 12

Kudos [?]: 6 [0], given: 11

Location: India
Concentration: General Management, Operations
GMAT 1: 640 Q49 V28
GPA: 4
WE: Programming (Computer Software)
Re: In the figure above, if the area of the rectangle is equal to the area [#permalink]

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21 Sep 2017, 00:59
3 * 8 = (1/2)* h* 12
2 = (1/2)* h
h =4

Ans D:

Kudos [?]: 6 [0], given: 11

Re: In the figure above, if the area of the rectangle is equal to the area   [#permalink] 21 Sep 2017, 00:59
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