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# Eight squares of equal area are placed side by side in a row to form

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Senior Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 434
Eight squares of equal area are placed side by side in a row to form  [#permalink]

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26 Mar 2019, 11:53
00:00

Difficulty:

25% (medium)

Question Stats:

78% (01:47) correct 22% (02:49) wrong based on 23 sessions

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Eight squares of equal area are placed side by side in a row to form a rectangle with perimeter 90. What is the area of the rectangle?

A) 160
B) 200
C) 320
D) 576
E) 648
Intern
Joined: 29 Oct 2012
Posts: 21
Re: Eight squares of equal area are placed side by side in a row to form  [#permalink]

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26 Mar 2019, 12:03
so
2(l+b)=90
2(8b+b)=90
solving gives us b=5, and l=40
so area =40*5=200 i.e. B
Senior Manager
Joined: 20 Mar 2018
Posts: 379
Location: Ghana
Concentration: Finance, Real Estate
Eight squares of equal area are placed side by side in a row to form  [#permalink]

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30 Mar 2019, 10:30
Okay so squares have equal sides right , since rectangle has length (L) and Width(W) : L=W

Now let each side of the square =L
Total length =8L ,W=8L

Perimeter =2(L+W) => 90=2(8L+L)

45=9L => L=5 , W=8(5)=40
Area =L•W =5•40= 200
IMO it’s B cheers!

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Eight squares of equal area are placed side by side in a row to form   [#permalink] 30 Mar 2019, 10:30
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# Eight squares of equal area are placed side by side in a row to form

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