Answer:
Therefore the dimensions of the fence 24 feet by 10 feet.
Explanation:
Rectangle
- The opposite sides of a rectangular are congruent
- The opposite angles of a rectangular are congruent
- The area of a rectangular is (length×breadth)
- The perimeter of a rectangular is 2(length+breadth)
Given
The perimeter of the fence is 68 feet
The area of the rectangular yard is 240 square feet
Let the length be x feet and breadth is y feet
According to the problem,
2(length+breadth)=68
⇒2(x+y)=68
⇒

.......(1)
The area of the rectangular is
length×breadth=240
⇒x×y=240

Putting the value x in the equation



⇒y²-34y+240=0
⇒y²-24y-10y+240=0
⇒y(y-24)-10(y-24)=0
⇒(y-24)(y-10)=0
⇒y=24,10
When, y=24

When y=10
=24
Therefore the dimensions of the fence 24 feet by 10 feet.