SOLUTION: A rectangular field is 283 yards in length and 376 yards in width. Find the area of the field in ACRES (1 acre = 43,560 square feet). Round to the nearest tenth of an acre

Algebra ->  Customizable Word Problem Solvers  -> Unit conversion -> SOLUTION: A rectangular field is 283 yards in length and 376 yards in width. Find the area of the field in ACRES (1 acre = 43,560 square feet). Round to the nearest tenth of an acre      Log On

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Question 1164113: A rectangular field is 283 yards in length and 376 yards in width. Find the area of the field in ACRES (1 acre = 43,560 square feet). Round to the nearest tenth of an acre
Answer by solver91311(24713) About Me  (Show Source):
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Find the area of the field in square yards by finding the product of the given dimensions. Multiply the area in square yards by the number of square feet in a square yard (hint: 3 times 3). Divide that result by 43560 and round as requested.

You might mention to your professor, instructor, teacher, whatever, that expressing this answer to the nearest tenth is absolutely wrong. The measurements of the field are given to the nearest yard, therefore you are only guaranteed that the true measurements are in the intervals 282.5 <= l < 283.5 yards and 375.5 <= w < 376.5 yards. Therefore, to the nearest tenth, you get an ambiguous result, either 22.1, 22.0, or 21.9 acres. NEVER, ever express the results of a calculation involving measurements to a greater precision than the LEAST precise given measurement. Had s/he wanted the answer to the nearest tenth acre, the measurements of the field should have been specified as 283.0 and 376.0.

John

My calculator said it, I believe it, that settles it