The area of a rectangular field is 96m2. The length of one side is 12m. The farmer needs to know the perimeter to find out how much fencing will be?
12 x = 96
so
x = 96/12
then
2 x + 2 (12) = perimeter
14
To find the perimeter of the rectangular field, we'll need to know the length of the other side. We can find this by using the formula for the area of a rectangle.
The formula for the area of a rectangle is:
Area = length × width
In this case, we know that the area is 96m² and the length of one side is 12m. Let's substitute these values into the formula:
96m² = 12m × width
Now we can solve for the width:
width = 96m² ÷ 12m
width = 8m
So, the width of the rectangular field is 8m.
To find the perimeter, we can use the formula:
Perimeter = 2 × (length + width)
Now we can substitute the values:
Perimeter = 2 × (12m + 8m)
Perimeter = 2 × 20m
Perimeter = 40m
Therefore, the perimeter of the rectangular field is 40m. The farmer will need 40m of fencing to enclose the field.