Answer:
Length of area is 857.14 ft
Width of area is 857.14 ft
Length of dividing fence is 857.14 ft
Step-by-step explanation:
Here we have
Area of rectangle = Length × Width
The dimension, of the rectangle with the largest area is the dimension of a square, hence we have;
Length of rectangle = Width of rectangle = x
Hence, the perimeter of the area = 4·x, while the width of the dividing fence = x
Therefore, since the we have;
Cost of the perimeter fence = $15/foot
Cost of the dividing fence = $10/foot
Then;
4·x × 15 + x × 10 = 60000
60·x + 10·x = 60000
x = 60000/70 = 857.14 ft
Which gives the following dimensions;
Length of area = 857.14 ft
Width of area = 857.14 ft
Length of dividing fence = 857.14 ft.
