Answer:
The length of the yard is 60 feet while the width is 30 feet.
Step-by-step explanation:
If the length of Mr. Timmon's backyard is double the width, then the dimensions are related by the following expression:
length = 2*width
We also know the perimetter, since he has the exact length of fence to surround his whole yard, which is 180 feet. The perimeter of a rectangle is given by:
perimeter = 2*length + 2*width
Therefore,
180 = 2*length + 2*width
With the length being double the width, we have:
180 = 2*(2*width) + 2*width
180 = 4*width + 2*width
6*width = 180
width = 180/6 = 30
length = 2*width = 2*30 = 60
The length of the yard is 60 feet while the width is 30 feet.