(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Area problem

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