The perimeter of a fence is 84 meters. If the width is 2 meters less than the length, find the width
P = 2L + 2W
84 = 2L + 2(L-2)
84 = 4L - 4
88 = 4L
22 = L
To find the width of the fence, we need to first set up an equation based on the given information.
Let's assume that the length of the fence is "L" meters. As per the given information, the width is 2 meters less than the length, so the width can be represented as "L - 2".
The perimeter of a rectangle is given by the formula: perimeter = 2(length + width). In this case, the perimeter of the fence is given as 84 meters, so we can write the equation as:
84 = 2(L + (L - 2))
Simplifying this equation will allow us to solve for the width:
84 = 2(2L - 2)
42 = 2L - 2
44 = 2L
L = 44 / 2
L = 22
Now that we know the value of "L" (length), we can substitute it back into the equation for the width:
Width = L - 2
Width = 22 - 2
Width = 20 meters
Therefore, the width of the fence is 20 meters.