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The smaller rectangle in the figure above represents the original size

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Joined: 07 Jun 2017
Posts: 171
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
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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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Re: The smaller rectangle in the figure above represents the original size  [#permalink]

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New post 19 Sep 2017, 18:32
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!
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Re: The smaller rectangle in the figure above represents the original size  [#permalink]

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New post 26 Jan 2019, 14:50
Bunuel wrote:
The smaller rectangle in the figure above represents the original size of a parking lot before its length and width were each extended by w feet to make the larger rectangular lot shown. If the area of the enlarged lot is twice the area of the original lot, what is the value of w?

(A) 25
(B) 50
(C) 75
(D) 100
(E) 200






The area of the original triangle is:
100*150 = 15,000 square feet

The enlarged lot is twice the area of the original area:
15,000 * 2 = 30,000 square feet

Now we need to know what value (w) is added to 100 and 150 which will equal 30,000
(100+w) * (150+w) = 30,000

In this case, backsolving using the answer choice is quicker than solving for W.
Start with answer choice B (If B is too small, you can cross out A and B, and then test D, because the answers are in ascending order)

(100+50) * (150+50) =
150 * 200 = 30,000

Answer B is correct
GMAT Club Bot
Re: The smaller rectangle in the figure above represents the original size   [#permalink] 26 Jan 2019, 14:50

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