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The area of a rectangle is the product of its length and width. Both the length and width are whole numbers.
A rectangular poster has an area of 136 square inches. The width of the poster is greater than 10 inches and is prime.
What is the width of the poster? Please show all work.
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Can you factor the number 136 into a product of prime factors?
It is very elementary procedure.
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Comment from student: I am sorry this is a 4th graders challenge question, so therefore yes it is very elementary
if you are unable to provide a step by step answer to the question can you please refer the question to someone who can. Thank you
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My response:
Surely, I can make it step by step.
But then the challenge will go out.
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So, we are given that the area of 136 square inches is the product of two integer numbers, the wide and the length.
What two integer numbers make the product of 136?
Smaller Greater
number number
2 and 68, ( 68 =
4 and 34, ( 34 =
8 and 17, ( 17 = )
Of these pairs of numbers, can you find the pair that satisfies the given condition?
One factor must be prime number greater than 10.
But of course, this pair is (8,17).
So, the length of 17 and the width of 8 is your solution.
The problem is solved.
NOTICE: the condition mistakenly asking for the width, instead of asking for the length.