Question

A park 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?

Answer 1

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:


`A=100*60=6000 m^(2)`

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:


`A=96*56=5,376 m^(2)`

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:


`6,000-5,376=624 m^(2)`

So now we know that the area of the jogging path is
`624 m^(2)`.