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# The regions enclosed by the rectangle and the triangle have

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The regions enclosed by the rectangle and the triangle have [#permalink]  29 Nov 2019, 02:51
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57% (00:37) correct 42% (00:17) wrong based on 19 sessions
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The regions enclosed by the rectangle and the triangle have areas of in and n, respectively.

 Quantity A Quantity B $$m$$ $$n$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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[Reveal] Spoiler: OA

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Intern
Joined: 27 Jun 2019
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Re: The regions enclosed by the rectangle and the triangle have [#permalink]  29 Nov 2019, 05:36
use the height of triangle as 4. Now use pythagoras theorem to calculate the base. And finally the area of triangle can be calculated.And that comes out to be 6
Intern
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Re: The regions enclosed by the rectangle and the triangle have [#permalink]  29 Nov 2019, 18:48
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QA: 4*3 =12
QB: (0.5)*h*b
h = 4 (side of the rectangular which is perpendicular and acting as the height for the triangle)
b=5
(0.5)*4*5
=10

QA>QB, thus option A
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Re: The regions enclosed by the rectangle and the triangle have [#permalink]  29 Nov 2019, 19:03
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Take few seconds analyzing the given figure. The parameters required for finding area of rectangle and triangle.
A: Area of rectangle is m = 4*3 = 12
B: Area of triangle is 0.5*base*height, where base is 5 and height will be equal to height of rectangle.
Area is n = 0.5*5*4 = 10
As m>n, the correct option to choose is option A.
Intern
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Kudos [?]: 16 [1] , given: 15

Re: The regions enclosed by the rectangle and the triangle have [#permalink]  30 Nov 2019, 17:00
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Since they both have the same height, you can ignore that. The rectangle has area 4(ht), the triangle has area .5*5(ht). 4>2.5.

Re: The regions enclosed by the rectangle and the triangle have   [#permalink] 30 Nov 2019, 17:00
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