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Verified Answer :

A=LxW
a=14 1\12
l=4 1\3
w=?
14 1\12=4 1\3 x w
14 1\12 divided by 4 1\3=13\4=3 1\4
w=3 1\4

Answer:

The width is approx \(3\frac{1}{4}\) yards.

Step-by-step explanation:

The area of a rectangular rug is 14 1/12 = \(\frac{169}{12}\) square yards

In decimal it is 14.0833 square yards.

The length of the rug is 4 1/3 = \(\frac{13}{3}\) yards

In decimal it is 4.333 yards.

Let the width be = x

Area = length x width

So, \(14.0833=4.333x\)

x = \(14.0833/4.333\)

= 3.25 or approx \(3\frac{1}{4}\) yards

Hence, the width is approx \(3\frac{1}{4}\) yards.