1. The problem statement, all variables and given/known data An architect wants to make an exposed gravel border of uniform width around a shed. The shed has dimensions of 10 by 11 feet. She only has enough gravel to cover 46 sq feet. How wide should the border be? 2. Relevant equations Area= L x W 46 sq ft is a limiting factor as well as the 110 sq feet of the shed. 3. The attempt at a solution I basically did a trial and error because I didn't know how to set it up. I arbitrarily chose .5feet for the border. 2((10ft+.5ft)x.5ft) for the two widths of the shed. Then I multiplied that by 2((11ft+.5ft)x.5ft) for the two lengths of the shed. I got the answer of 23 ft so I seen that my original choice of .5 ft was two small and I doubled it to 1 ft. I didn't like doing it this way and would like someone to explain to me how to set up a way of solving this problem without trial and error please.