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# In a rectangle , the length of the diagonal is 8 meters and the length

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VP
Joined: 31 Oct 2013
Posts: 1492
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
In a rectangle , the length of the diagonal is 8 meters and the length  [#permalink]

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23 Nov 2019, 21:21
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Difficulty:

45% (medium)

Question Stats:

67% (01:33) correct 33% (02:12) wrong based on 21 sessions

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In a rectangle , the length of the diagonal is 8 meters and the length of the perpendicular drawn on that diagonal from the opposite corner is 4 meters. What is the area of the rectangle in sq meters ?

A)32
B)16
C)24
D)12
E)64
Math Expert
Joined: 02 Aug 2009
Posts: 8327
Re: In a rectangle , the length of the diagonal is 8 meters and the length  [#permalink]

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23 Nov 2019, 21:50
KSBGC wrote:
In a rectangle , the length of the diagonal is 8 meters and the length of the perpendicular drawn on that diagonal from the opposite corner is 4 meters. What is the area of the rectangle in sq meters ?

A)32
B)16
C)24
D)12
E)64

Area of a rectangle = length * breadth when one of these is taken as the base
OR
Area = 2*(1/2*Diagonal*(perpendicular on this diagonal from the opposite vertex))=2*8*4*(1/2)=33

A
_________________
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Joined: 16 Feb 2015
Posts: 278
Location: United States
Concentration: Finance, Operations
Re: In a rectangle , the length of the diagonal is 8 meters and the length  [#permalink]

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23 Nov 2019, 21:58
Area of Retangle= 2 × [1/2 x diagonal*(perpendicular on this diagonal)]
=2x8x4x(1/2)
=32

Please give kudos, if you find my explanation good enough

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Senior Manager
Joined: 16 Feb 2015
Posts: 278
Location: United States
Concentration: Finance, Operations
Re: In a rectangle , the length of the diagonal is 8 meters and the length  [#permalink]

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23 Nov 2019, 22:01
chetan2u wrote:
KSBGC wrote:
In a rectangle , the length of the diagonal is 8 meters and the length of the perpendicular drawn on that diagonal from the opposite corner is 4 meters. What is the area of the rectangle in sq meters ?

A)32
B)16
C)24
D)12
E)64

Area of a rectangle = length * breadth when one of these is taken as the base
OR
Area = 2*(1/2*Diagonal*(perpendicular on this diagonal from the opposite vertex))=2*8*4*(1/2)=33

A

chetan2u , you made calulation mistake.. answer is 32. You written as 33. Which is not in options.

Regards,
Rajat

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Joined: 04 Apr 2015
Posts: 251
GMAT 1: 650 Q49 V31
GPA: 3.59
Re: In a rectangle , the length of the diagonal is 8 meters and the length  [#permalink]

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24 Nov 2019, 04:57
chetan2u wrote:
KSBGC wrote:
In a rectangle , the length of the diagonal is 8 meters and the length of the perpendicular drawn on that diagonal from the opposite corner is 4 meters. What is the area of the rectangle in sq meters ?

A)32
B)16
C)24
D)12
E)64

Area of a rectangle = length * breadth when one of these is taken as the base
OR
Area = 2*(1/2*Diagonal*(perpendicular on this diagonal from the opposite vertex))=2*8*4*(1/2)=33

A

sir typing error ho gaya
Re: In a rectangle , the length of the diagonal is 8 meters and the length   [#permalink] 24 Nov 2019, 04:57
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