If the length of the rectangle is increased by 2 m, then its area increases by 12 m2. what is the width of the rectangle?

In order to find the width of a given rectangle, it is necessary to divide the value by which its area has increased by the value by which its length has been increased. So, we get:

12: 2 = 6 (m).

Thus, the width of the rectangle is 6 m.

Consider, for example, a rectangle with sides of 5 m and 6 m.

Let’s calculate its area:

S = 5 * 6 = 30 (m²).

Let’s increase its length by 2 m: 5 + 2 = 7 (m).

Let’s increase the area by 12 m²: 30 + 12 = 42 (m²).

We calculate the width by dividing the increased area by the increased length:

42: 7 = 6 (m).

Answer: 6 meters.