Given:
The dimension of the wood is
[tex]10\text{ inches }\times\text{ 10 inches }\times\text{ 2}\frac{1}{4}\text{ inches}[/tex]
The amount of extra fabric needed on all sides: 5/8 inches
The diagram below shows the fabric with the extra fabric:
The minimum amount of fabric is the sum of the initial dimension plus the extra length
[tex]\begin{gathered} \text{length = 10 + }\frac{5}{8}\text{ + }\frac{5}{8} \\ =\text{ 11.25 or 11}\frac{1}{4}\text{ inches} \end{gathered}[/tex]
Hence, the minimum dimensions of the fabric are:
[tex]=\text{ 11}\frac{1}{4}\text{ inches }\times\text{ 11}\frac{1}{4}\text{ inches}[/tex]