Question

The side s of a square carpet is measured at 5 ft. Estimate using the Linear Approximation the maximum error in the area A of the carpet if s is accurate to 0.4 inches. (Round your answer to three decimal places.)

Answer 1

Answer:

$0.333 ft^2$

Step-by-step explanation:

We are given that

Side of square carpet,s=5 ft

$\Delta s=0.4 in=\frac{0.4}{12}ft$

1 foot=12 in

We have to find the maximum error in the area of the carpet by using the linear approximation .

Area of square,A=$(side)^2=s^2$

$dA=2sds$

Substitute the values

$dA=2\times 5\times \frac{0.4}{12}$

$dA=0.333ft^2$

Hence, the maximum error in the area of the carpet=$0.333 ft^2$