Question

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 1

The length of the farm is 310 yards and the width is 105 yards

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

`P=2(x+y)`

we have

`P=830/ yd`

so

`830=2(x+y)`

simplify

`415=(x+y)` -----> equation A

`x=2y+100` ----> equation B

substitute equation B in equation A

`415=(2y+100+y)`

solve for y

`415=(3y+100)`

`3y=415-100`

`3y=315`

`y=105\ yd`

Find the value of x

`x=2y+100`

`x=2(105)+100=310\ yd`

therefore

The length of the farm is 310 yards and the width is 105 yards