You own a rectangular piece of property that is 1.06 acres in size. You get bids for 1) constructing a $20 per-lineal-foot fence around the entire property, and 2) spraying the property for weed abatement at a price of $0.40 per square foot. To your surprise (and joy because you love numbers), the bids come out exactly the same dollar amount. What are the dimensions of your property? Give your answers to the nearest hundredth of a foot.