Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. the length of the yard is 10 feet more than 2 times the width. she needs 56 feet of fencing to do the job. find the length of the yard.

Let x be the yard length, then if the length of the yard is 10 feet more than 2 times the width, the length of the yard is 2x+10. The perimeter is 2 lengths + 2 widths, so P=2x+2(2x+10) .

Since Sally needs 56 feet of fencing to do the job, P=56 ft. and

2x+2(2x+10)=56,

2x+4x+20=56,

6x=56-20,

6x=36,

x=6 ft. and 2x+10=12+10=22 ft.

The length of the yard is 22 feet