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 metres in area. 1. How wide should the border be? Round to the nearest tenth of a metre. 2. 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
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...
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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 metres in area.

1. How wide should the border be? Round to the nearest tenth of a metre.

2. 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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