Answer: [tex]4\frac{1}{7} ft[/tex]
Step-by-step explanation:
Area (A): [tex]36\frac{1}{4} = \frac{4(36)+1}{4} = \frac{144+1}{4} = \frac{145}{4}[/tex]
Length (L): [tex]8\frac{3}{4} = \frac{4(8)+3}{4} = \frac{32+3}{4} = \frac{35}{4}[/tex]
width (w): W
A = L x W
[tex]\frac{145}{4}[/tex] = [tex]\frac{35}{4}[/tex] x W
[tex](\frac{4}{35})[/tex][tex]\frac{145}{4}[/tex] = [tex](\frac{4}{35})[/tex][tex]\frac{35}{4}[/tex] x W
[tex]\frac{4(145)}{35(4)} = \frac{145}{35} = \frac{5(29)}{5(7)} = \frac{29}{7} = W[/tex]
[tex]\frac{29}{7} = \frac{7(4) + 1}{7} = 4\frac{1}{7}[/tex]