The area of a rectangular field is 96m2. The length of one side is12m. The farmer needs to know its perimeter to work out how much fencing will be needed.
the other side is 96/12 = 8
So, now you know both sides, and can easily figure the perimeter...
A = LW
96 = 12w
8 = W
P = (2 * 12) + (2 * 8)
P = ________ meters
To find the perimeter of a rectangular field, we need to know the length and width of the field. However, only one side length is given, which is 12 meters.
To find the missing side length, we can use the formula for the area of a rectangle, which is length multiplied by width.
Given that the area of the field is 96 square meters and one side length is 12 meters, we can set up the equation:
Area = Length × Width
96m² = 12m × Width
To solve for the width, we divide both sides of the equation by 12:
96m² ÷ 12m = Width
8m = Width
So, the width of the field is 8 meters.
Now that we know the length and width of the field, we can calculate the perimeter using the formula:
Perimeter = 2×(Length + Width)
Plugging in the values, we get:
Perimeter = 2×(12m + 8m)
Perimeter = 2×20m
Perimeter = 40m
Therefore, the perimeter of the rectangular field is 40 meters.