1.  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 satify both the client and the planning regulators?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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1.  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 satify both the client and the planning regulators?

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