Apark is in the shape of a rectangle. the park authorities are planning to build a 2-meter-wide jogging path in the park (shown as the shaded region in the image). what is the area of the jogging path?

First, we need to find the area of the two rectangles in this picture. We know that area = l*w.

So for the larger rectangle, we know the l = 100 m, and the w = 60 m. Let us find the area:



So the larger rectangle area is 6000 m.

The smaller rectangle has dimensions that are 2 m less on every side. So we can recalculate these dimensions as l = 96 m and w = 56 m.

Let's find the area of the smaller rectangle:



So we know that the area of the smaller rectangle is 5,376 m.

The area of the jogging path is going to be the difference between these two rectangles. Let us solve:



So now we know that the area of the jogging path is .