SOLUTION: The area of a rectangle is the product of its length and width. A rectangular poster has an area of 260 square inches. The width of the poster is greater than 10 inches and is a pr

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Question 1045171: The area of a rectangle is the product of its length and width. A rectangular poster has an area of 260 square inches. The width of the poster is greater than 10 inches and is a prime number. What is the width of the poster?
Found 3 solutions by ikleyn, josgarithmetic, MathTherapy:
Answer by ikleyn(52780) About Me  (Show Source):
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13 inches.


Answer by josgarithmetic(39617) About Me  (Show Source):
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Start with width choices 11, 13, 17, 19 and find corresponding length. But still more values are possible.

L=260%2Fw

Lengths can be any of these:
system%2823%267%2F11%2C20%2C15%265%2F17%2C13%2613%2F19%2CbutTheseNottheOnlyPossibilities%29

Answer by MathTherapy(10552) About Me  (Show Source):
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The area of a rectangle is the product of its length and width. A rectangular poster has an area of 260 square inches. The width of the poster is greater than 10 inches and is a prime number. What is the width of the poster?
If the length is an INTEGER, then: 
If the length IS NOT an integer, the width can be any PRIME NUMBER between 17 and 257, inclusive.
However, a poster that's matrix%281%2C3%2C+257%2C+by%2C+260%2F257%29%29 would not make much sense, and neither would others that have disproportionate lengths and widths.