the williams have a farm that is in a rectangular shape. the length of the farm is hundred yards twice the width. the whole perimeter of the farm is 830 yards​

Answer:The length of the farm is 310 yards and the width is 105 yardsStep-by-step explanation:The correct question is The Williams have a farm that is in a rectangular shape. The length of the farm is one hundred yards more than twice the width. The whole perimeter of the farm is 830 yardsFind the dimensions of the farmLetx ----> the length of the rectangular farmy ----> the width of the rectangular farmwe know thatThe perimeter of the farm (rectangle) is equal to[tex]P=2(x+y)[/tex]we have[tex]P=830/ yd[/tex]so[tex]830=2(x+y)[/tex]simplify[tex]415=(x+y)[/tex] -----> equation A[tex]x=2y+100[/tex] ----> equation Bsubstitute equation B in equation A[tex]415=(2y+100+y)[/tex]solve for y[tex]415=(3y+100)[/tex][tex]3y=415-100[/tex][tex]3y=315[/tex][tex]y=105\ yd[/tex]Find the value of x[tex]x=2y+100[/tex][tex]x=2(105)+100=310\ yd[/tex]thereforeThe length of the farm is 310 yards and the width is 105 yards