The side of a square floor tile is measured to be 28 inches, with a possible error of 1/32 inch. use differentials to approximate the possible propagated error in computing the area of the square.

The possible error in the area value of the square using differentials is ±1.75 inches

Given the Parameters :

Recall, the Formula for Area of a square :

To obtain the approximate possible error, , take the first derivative of Area :

Substitute the value of and into the equation :

Therefore the possible error in the computed area value is ±1.75

Learn more :link

Step-by-step explanation:

The formula for the area of a square is

We have a measured side to be 28 inches with an error of

To find the propogated error we need solve the differential equation for the change in the area, which is

dA = 2s*ds

dA = 2(28)(±1/32) which gives us

dA = ±1.75 inches squared

33

step-by-step explanation: g=6