A border of uniform width is placed around a rectangular

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A border of uniform width is placed around a rectangular [#permalink]

20 Dec 2012, 05:33

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52% (04:17) correct

47% (01:43) wrong

based on 8 sessions

A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the border is 144 square inches, what is the width of the border, in inches?

(A) 3
(B) 4
(C) 6
(D) 8
(E) 9

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Re: A border of uniform width is placed around a rectangular [#permalink]

20 Dec 2012, 05:42

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Walkabout wrote:

Consider the diagram below:

Attachment:

photograph.png [ 5.15 KiB | Viewed 764 times ]

The area of just the photograph is 8*10=80 square inches.

The area of the photograph with the border is (10+2x)(8+2x)=4x^2+36x+80 square inches.

The difference is 144 square inches, thus (4x^2+36x+80)-80=144 --> 4x^2+36x-144=0 --> x^2+9x+36=0 --> (x-3)(x+12)=0 --> x=3.

Answer: A.
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Re: A border of uniform width is placed around a rectangular [#permalink] 20 Dec 2012, 05:42

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A border of uniform width is placed around a rectangular

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A border of uniform width is placed around a rectangular

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