Step 1 :Convert the width of the garden to centimeters: \(3.5 \mathrm{m} \times 100 = 350 \mathrm{cm}\)
Step 2 :Divide the width of the garden in centimeters by the length of the boot: \(\frac{350 \mathrm{cm}}{32 \mathrm{cm}} = 10.9375\)
Step 3 :\(\boxed{\text{The width of the garden is approximately 10.94 boot lengths}}\)