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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: 46305
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
00:00

Difficulty:

(N/A)

Question Stats:

81% (00:14) correct 19% (00:14) wrong based on 26 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

Attachment:

2017-09-20_1021_003.png [ 5.24 KiB | Viewed 445 times ]

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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)
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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:
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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