A boundary stripe 6 in. wide is painted around a rectangle whose dimensions are 120 ft by 230 ft. Use differentials to approximate the number of square feet of paint in the stripe.

350 square feet

Step-by-step explanation:

We are given that

Width of strip=6 in

Dimension of rectangle=

We know that

Area  of rectangle ,A=xy

Differentiate

We have

1 ft=12 in

Because 6 in added in both side of breadth

dy=

Because 6 in added on both sides of length of rectangle

Substitute the values

Hence, the number of square feet of paint in the strip=350 square feet

180

step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.