Problema Solution

An artificallake is in the sape od a rectangle and has an area of 9\20 square mile. the width of the lake is 1\5 the length of the lake.What are the dimensions of the lake

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let


x = the length of the lake, x>0


(1/5)x = the width of the lake


A = 9/20 mi^2 the area of the lake


A = length*width


x*(1/5)x = 9/20


by solving we find:


x = 1.5 mi


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(1/5)*1.5 = 0.3 mi


the dimensions of the lake are: 1.5 miles in length and 0.3 mi in width.