Tanya has a garden with a trench around it. The garden is a rectangle with length 2 1/2 m and width 2 m . The trench and garden together make a rectangle with length 3 1/2 m and width 3 m.

Find the area of just the trench.

m^2

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.