The side of a square floor tile is measured to be 16 inches, with a possible error of 1/32 inch. Use differentials to approximate the possible error and the relative error in computing the area of the square.Step 12Recall that the formula for the area of a square is A = xAx = dx = ±SubmitWe are given that the side of the square floor tile is x = 16 inches and the possible error is132dAdxStep 2To approximate the possible propagated error in computing the area of the square, differentiate A=||dA =X2x dxISkip (you cannot come back)where x is the side of the square.x² with respect to x.

The area of the square is given by,Take derivative.

The side of a square floor tile is measured to be 16 inches, with a possible error of 1/32 inch. Use differentials to approximate the possible error and the relative error in computing the area of the square. Step 1 Recall that the formula for the area of a square is A = x We are given that the side of the square floor tile is x = 16 inches and the possible error is 1 32 Step 2 Ax= dx = ± To approximate the possible propagated error in computing the area of the square, differentiate A = x² with respect to x. dA dx = where x is the side of the square. dA = x dx