1. **Problem Statement:** Find the area of the shaded border around the inner rectangle. 2. **Given:** - Inner rectangle dimensions: $8$ cm by $6$ cm. - Border width: $1.5$ cm on all sides. 3. **Formula:** Area of shaded part = Area of outer rectangle $-$ Area of inner rectangle. 4. **Calculate outer rectangle dimensions:** - Outer length = inner length $+ 2 \times$ border width = $8 + 2 \times 1.5 = 8 + 3 = 11$ cm. - Outer width = inner width $+ 2 \times$ border width = $6 + 2 \times 1.5 = 6 + 3 = 9$ cm. 5. **Calculate areas:** - Inner area = $8 \times 6 = 48$ cm$^2$. - Outer area = $11 \times 9 = 99$ cm$^2$. 6. **Calculate shaded area:** $$\text{Shaded area} = 99 - 48 = 51 \text{ cm}^2.$$