The measurement of the side of a square floor tile is 10 inches

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4. The measurement of the side of a square floor tile is 10 inches, with a possible error of 1/32 inch.

a) Use differentials to approximate the possible propagated error in computing the area of the square.

b) Approximate the percent error in computing the area of the square.

Hint

length of side of square, x=10 inches

Error, ∆x = dx = 1/32 inch

Area of square, A = x^2

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