Mensuration

1. Let the breadth of the rectangle be meters:

Since the length is 6 meters more than the breadth, the length is meters.

2. Using the formula for the area of a rectangle:

The area is given by: .

We know the area is 112 m², so:

3. Simplifying the equation:

Expand the equation:

Rearrange it to form a quadratic equation:

4. Solving the quadratic equation:

We can solve it using the quadratic formula:

Here, , , and .

Substitute these values into the quadratic formula:

Therefore, or .

Since the breadth cannot be negative, we have meters.