The shaded area of the trapezium within the rectangle can be found by subtracting the area of the smaller rectangle (formed by the breadth of 3ft) from the area of the larger rectangle (formed by the breadth of 6ft).
1. Area of Larger Rectangle:
![\[ \text{Area} = \text{Length} * \text{Breadth} = 10 * 6 = 60 \, \text{ft}^2\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/hskfystiivtxksvr0slqe9xqxfm5mdafog.png)
2. Area of Smaller Rectangle:
![\[ \text{Area} = \text{Length} * \text{Breadth} = 10 * 3 = 30 \, \text{ft}^2\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/kj5wcs52a0f9rm5a1j5l6aaflvuyjfxyyy.png)
3. Shaded Area:
![\[ \text{Shaded Area} = \text{Area of Larger Rectangle} - \text{Area of Smaller Rectangle} = 60 - 30 = 30 \, \text{ft}^2\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/qo32nhcgr6j1kfyh46drvib7lu8b04yqfz.png)
Therefore, the shaded area of the rectangle is
