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
Positive slope and negative slope so one line is negative and the other is positive