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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Topic: Calculus Posted 1 year ago

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

Sep 5, 2023

Koala Ai Support

First, let's calculate the perimeter of the desired square. The area of a square is given by side^2, so the length of one side of the square is sqrt(100) = 10 inches.

The perimeter of the square is 4 times the length of one side, so it is 4 * 10 = 40 inches.

Since we have to cut the wire into four equal pieces, each piece of wire needs to be 1/4 * 40 = 10 inches.

Therefore, each piece of wire must be within 10 - 0.06/4 = 9.985 inches of 10 inches.

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