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Senior Manager
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Re: DS question [#permalink] New post 13 Sep 2006, 20:48
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
abraham421 wrote:
can anyone help me out with this?.....the answer is D:

25. The surface area of a square tabletop was changed so that one of the dimensions was reduced by 1 inch and the other dimension was increased by 2 inches. What was the surface area before these changes were made?
(1) After the changes were made, the surface area was 70 square inches.

Since it is a sqaretop, let side =x, Hence (x-1)(x+2)= 70

Solving you get x=8 SUFF

(2) There was a 25 percent increase in one of the dimensions.


Since there was a 1/4 increase, 1/4 * x = 2 i.e. x=8 SUFF

Hence D
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 [#permalink] New post 14 Sep 2006, 10:59
I am a little confused. Can anyone clarify this basic concept for me:

(x-1)(x+2) = 70

x^2+x-72= 0

(x+9)(x-8) = 0

x = -9
x = 8

Since -9 is a negative number, we can say that is not a valid solution for the problem since we cannot have a "negative" side. Thus, making +8 the only solution. Is this correct or am I missing somthing? :roll:
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 [#permalink] New post 14 Sep 2006, 11:18
I thought it was C.

Couldn't 5x11 also be a solution for the original measurements, making 1 insufficient?
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 [#permalink] New post 15 Sep 2006, 00:22
The surface area of a square tabletop was changed so that one of the dimensions was reduced by 1 inch and the other dimension was increased by 2 inches. What was the surface area before these changes were made?
(1) After the changes were made, the surface area was 70 square inches.
(2) There was a 25 percent increase in one of the dimensions.

Original surface area = x^2 ( the only dimensions where x)

dimensions after change ( the table is no more a square) =

x-1 , x+2.... what is x???

from one the surface area = (x-1)(x+2) = 70

and since the only two factors of 70 with a difference of 3 (x+2 - x+1) are 7,10

ie x-1 = 7 and x+2 = 10 gives the same value of x and thus x = 8 ...suff

from two

st two is talking about increase thus those 25% increase is equall to the 2 inches increse thus x = 8

suff

my answer is D
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 [#permalink] New post 15 Sep 2006, 06:02
Answer: D

Let a = original dimension

S1 : New area = 70 = (a+1) (a-2)

Can solve.. sufficient.

S2:
Increase in one dimensio is 25%.

a+1 = 1.25a

Sufficient.

Answer: D
  [#permalink] 15 Sep 2006, 06:02
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