The perimeter of a rectangular field is 328 m. If the width of the field is 68m, what is the length
Let the length of the field be L.
The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width.
In this case, we are given that the width of the field is 68m and the perimeter is 328m.
So we have 328 = 2L + 2(68).
Distributing the 2 to each term inside the parentheses, we get 328 = 2L + 136.
Subtracting 136 from both sides, we get 192 = 2L.
Dividing both sides by 2, we get L = 96.
Therefore, the length of the field is 96m.
To find the length of the rectangular field, we need to use the formula for the perimeter of a rectangle, which is given by:
Perimeter = 2(length + width)
We are given the perimeter as 328 m and the width as 68 m. Let's plug in the known values into the formula:
328 = 2(length + 68)
Now, let's solve for the length:
328 = 2(length + 68)
Divide both sides by 2:
164 = length + 68
Subtract 68 from both sides:
96 = length
Therefore, the length of the rectangular field is 96 meters.
To find the length of the rectangular field, we first need to understand the formula for calculating the perimeter of a rectangle. The perimeter of a rectangle is calculated by adding the lengths of all four sides.
In this case, we are given the total perimeter, which is 328 meters, and the width of the field, which is 68 meters. Let's denote the length of the field as 'L'.
The formula for the perimeter of a rectangle is: P = 2L + 2W
Substituting the given values, we have: 328 = 2L + 2(68)
Simplifying the equation, we get: 328 = 2L + 136
Next, we can isolate the variable 'L' by moving the constant term to the other side of the equation:
328 - 136 = 2L
192 = 2L
Now, divide both sides of the equation by 2 to solve for 'L':
192/2 = L
96 = L
Therefore, the length of the rectangular field is 96 meters.