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width   =   4  yards

length   =   5\(\frac23\)  yards

 

area   =   width  *  length

                                                      Plug in the given values for width and length.

area   =   4 yards  *  5\(\frac23\)  yards

 

area  =   (4 * 5\(\frac23\))  square yards

                                                      Convert  5\(\frac23\)  to  \(\frac{17}{3}\)

area  =   (4 * \(\frac{17}3\))  square yards

                                                      Multiply.

area   =   \(\frac{68}{3}\)   square yards

                                                      Convert  \(\frac{68}3\)  to  22\(\frac{2}{3}\)

area   =   22\(\frac23\)  square yards