A contractor has to build rectangular pool 12 metres long and 8 metres wide.  The pool must, by agreement, contain a rectangular border of uniform width and must be exactly 120 sq meters in area. (i)  How wide should the border be? Round to the nearest tenth of a metre.     (ii)   If physical planning laws require at least a 2-metre-wide border around a pool, would the contractor be able to satisfy both the client and the planning regulators?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
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(c)  A contractor has to build rectangular pool 12 metres long and 8 metres wide.  The pool must, by agreement, contain a rectangular border of uniform width and must be exactly 120 sq meters in area.

(i)  How wide should the border be? Round to the nearest tenth of a metre.    

(ii)   If physical planning laws require at least a 2-metre-wide border around a pool, would the contractor be able to satisfy both the client and the planning regulators?      

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