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# A square photograph is cropped by 1 inch along one edge and by 2 inche

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
A square photograph is cropped by 1 inch along one edge and by 2 inche  [#permalink]

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09 Sep 2018, 07:49
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:42) correct 38% (01:42) wrong based on 24 sessions

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A square photograph is cropped by 1 inch along one edge and by 2 inches along the adjacent side. What were the dimensions of the photograph before it was cropped?

(1) After the changes were made, the area of the photograph was 12 square inches.
(2) There was a 40% decrease in one of the dimensions of the photograph.

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Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: A square photograph is cropped by 1 inch along one edge and by 2 inche  [#permalink]

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09 Sep 2018, 11:22
Bunuel wrote:
A square photograph is cropped by 1 inch along one edge and by 2 inches along the adjacent side. What were the dimensions of the photograph before it was cropped?

(1) After the changes were made, the area of the photograph was 12 square inches.
(2) There was a 40% decrease in one of the dimensions of the photograph.

(1) After the changes were made, the area of the photograph was 12 square inches.

let the side of the square be a
after the cropping
(a-1)(a-2)=12
upon solving a=5,-2
since side is +ve
a=5
sufficient

(2) There was a 40% decrease in one of the dimensions of the photograph
this decrease can be with any side
we can have
(a-1)=0.6a => a=10/4
or
(a-2)=0.6a => a=20/4 = 5
two values of a

insufficient

A
Re: A square photograph is cropped by 1 inch along one edge and by 2 inche   [#permalink] 09 Sep 2018, 11:22
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