Answer:
The length of the farm is 310 yards and the width is 105 yards
Step-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 yards
Find the dimensions of the farm
Let
x ----> the length of the rectangular farm
y ----> the width of the rectangular farm
we know that
The 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 B
substitute 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]
therefore
The length of the farm is 310 yards and the width is 105 yards
