Answer :
Final answer:
The question involves area calculation and the number of 4'x10' metal sheets needed to fabricate 300 feet of gutter with a stretch-out of 13 inches. After the calculations, around 30 sheets of metal are needed, which doesn't match the provided choices. This suggests a possible calculation error or typo in the question.
Explanation:
The subject at hand is a practical application of area calculation in Mathematics. In this case, it involves calculating the number of 4' x 10' sheets of metal needed to fabricate a gutter system.
Firstly, we need to understand what 'stretch-out' means in this context. One may view 'stretch-out' as the total flat length of the gutter material. Here, it's given as 13 inches or approximately 1.083 feet.
The total length of gutter needed is 300 feet. Since each piece has a 'stretch-out' of 1.083 feet, we would require approximately 277 pieces (since 300/1.083 = 277).
Now, if each sheet of metal can be fabricated into a 10 foot gutter section, then each 4' x 10' sheet gives us about 9.275 pieces (10/1.083=9.275 pieces). Therefore, dividing the total number of pieces needed by the number of pieces per sheet, we will need around 30 sheets of metal (277/9.275), which is not an option in the given choices.
There may be a calculation or typo error in the given question as the answer does not match the provided choices.
Learn more about Area Calculation here:
https://brainly.com/question/32024069
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