Question
You need to cut four pieces of wire (exactly the same length for each after the cut) and form them into a square. If the area of the square must be within 0.06 inches of 100 inches
You need to cut four pieces of wire (exactly the same length for each after the cut) and form them into a square. If the area of the square must be within 0.06 inches of 100 inches, then each piece of wire must be within how many inches of 10 inches?
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Koala Tutor
Koala Ai Support
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To find the length of each piece of wire, we need to find the side length of the square formed by the wire. Since the area of the square must be within 0.06 inches of 100 inches, the side length must be within $\sqrt{100-0.06} \approx 9.990$ inches and $\sqrt{100+0.06} \approx 10.005$ inches.
Therefore, each piece of wire must be within $10.005 - 10 = \boxed{0.005}$ inches of 10 inches.
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