The perimeter of the rectangle is 9.6 m. The length is 1.4 times the width. Find the area of this rectangle.

1) Let X be the width of the rectangle.

2) The length of the rectangle will be 1.4 X.

3) Based on the condition of the problem, we compose an equation and solve it:

2 (1.4 X + X) = 9.6 m;

2.8 X + 2 X = 9.6;

4.8 X = 9.6;

X = 2 m;

4) The length of the rectangle will be:

1.4 * 2 = 2.8 m;

5) The area of the rectangle will be:

2 * 2.8 = 4.8 m ^ 2;

Answer: The area of the rectangle is 4.8 m ^ 2.