Problema Solution

The perimeter of a rectangular oceanfront lot is 190 m. The width is one-fourth of the length. Find the dimensions.

Answer provided by our tutors

let


l = the length


w = the width


P = 190 m the perimeter


P = 2(l + w) is the perimeter of the rectangle thus we have:


2(l + w) = 190 divide both sides by 2


l + w = 95


the width is one-fourth of the length:


w = (1/4)l


by solving the system of equations:


l + w = 95


w = (1/4)l


we find:


l = 76 m


w = 19 m


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the dimensions of the rectangular oceanfront lot are: the length is 76 meters and the width is 19 meters.