EXPLANATION
Let's see the facts:
Perimeter = P = 312 m
Length = l = 89m
Width = w = unknown
The perimeter of a rectangle is given by the following relationship:
Replacing terms:
Applying the distributive property:
Subtracting 178 to both sides:
Dividing 2 to both sides:
Simplifying:
Switching sides:
The width of the garden is 67 meters.