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The smaller rectangle in the figure above represents the original size

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Manager
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G
Joined: 07 Jun 2017
Posts: 177
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: The smaller rectangle in the figure above represents the original size [#permalink]

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New post 14 Sep 2017, 21:18
Instead of taking it as 100 and 150 ft,
take it as 10 ft and 15 ft( multiplication is easier)
so ares becomes 15*10 = 150,
new parking lot area should be 300 sq ft
(15+w)*(10+w) = 300
by scanning the answer(instead of solving quadratic equation scanning the answer is easier, always start with the option C first
C(7.5, divide by 10, the 0 which we left in the first line) answer does not holds good, go up, B,
(10+5)*(15+5) = 300 holds good
Answer should be B
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Naveen
email: nkmungila@gmail.com
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Joined: 19 Sep 2017
Posts: 2
Re: The smaller rectangle in the figure above represents the original size [#permalink]

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New post 19 Sep 2017, 18:32
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Could someone please help me to find out where my math is wrong?

A2 = A1 * 2 = 30 000

A2 = (100 + w)(150 + w)
30 000 = 15 000 + 100w + 150w +w^2
w^2 + 250w - 15 000 = 0
w = (-b +-sqr(b^2 - 4ac)) / 2 ~ Bhaskara
w = (-250 +-spr(250^2 - 4*1*(-15 000)) / 2
w = (-250 +-sqr(62 500 - 60 000)) / 2
w = (-250 +- sqr(2 500)) / 2
w= (-250 +- 50) / 2
w1 = -300/2 = - 150
w2 = -200/2 = - 100

Thnaks for your time people!
Re: The smaller rectangle in the figure above represents the original size   [#permalink] 19 Sep 2017, 18:32

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The smaller rectangle in the figure above represents the original size

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