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The original lay of a rectangular plot ABCD on open ground is 80 m long along AB, and 60 m wide along BC. Concreted pathways are intended to be laid on the inside of the plot all around the sides. The pathways along BC and DA are each 4 m wide. The pathways along AB and DC will mutually be of equal widths such that the un- concreted internal plot will measure three-fourth of the original area of the plot ABCD. What will be the width of each of these pathways along AB and DC?
3 m
4 m
5 m
6 m
Area of ABCD = 80*60 Width of pathway along breadth = 4cm
Width of pathway along length = x cm
New Area = (3/4)* old area
(80-2*4)*(60-2x) = (3/4)*80*60
72*(60-2x) = 45*80
540-18x = 450
90=18x
X= 5cm
By: Udit Singla ProfileResourcesReport error
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