hello
let's assume the room is a rectangular room and we can use the formula for area of a rectangle to find the total area
we can convert the dimensions from feet to yards
![\begin{gathered} 1yd=3ft \\ \text{length =} \\ 1yd=3ft \\ \text{x yd}=15 \\ x=(15*1)/(3) \\ x=5ft \\ \text{width} \\ 1yd=3ft \\ z\text{ yd= 12ft} \\ z=(12*1)/(3) \\ z=4yd \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/eu0micceyhe9x3uztwb5vezhbua5bdmgkk.png)
now we've established that the length and width of the room is 5yd and 4yd respectively
![\begin{gathered} \text{area}=l* w \\ \text{area}=5*4 \\ \text{area}=20yd^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/vyebv2tlzqrsuieco1jdh68li4x6elolcm.png)
the square yard required is 20yd^2