Answer:
The area is 13,3 squared meters
Step-by-step explanation:
The 400 meters of fencing is the perimeter of the area. We know that:
perimeter = 2 (length + width)
or
P = 2 (l+w)
We also know that the length is twice the width, hence:
l = 2w
Substituting this information in the perimeter equation:
P = 2 (2w + w)
P = 4w+2w
P = 6w
w = P/6
Now, the area is defined as:
A = l*w
Therefore,
A = 2*w*w
A = 2 * w^2
Putting the w =P/6 in the previous equation
A = 2 * (P/6)^2
A = 2 * P^2/36
A = P^2/12
And substituting the value of P and doing the math,
A = 13, 333 period 3 which we need to round to 13,3 which is the total number of significant digits given
