Answer:
He will need 99 feet of fence.
Step-by-step explanation:
Jim's back yard has the following dimensions;
Length=120 feet
Width=75 feet
The gardens dimensions can be calculated using the expression;
Length of garden=Length of back yard/scale factor
where;
Length of back yard=120 feet
Scale factor=2/5
replacing;
Length of garden=120/2/5
Length of garden=12 feet
Width of garden=Width of back yard/scale factor
where;
Width of back yard=75 feet
Scale factor=2/5
replacing;
Width of garden=75/2/5
Width of garden=37.5 feet
The gardens dimension are;
Garden width=37.5 feet
Garden length=12 feet
To get the length of the fence that will enclose all four sides, we calculate the perimeter of the garden;
Perimeter=2(length+width)
Perimeter=2(12+37.5)=99 feet
He will need 99 feet of fence
