Problema Solution

A building in a city has a rectangular base. the length of the base measures 60feet less that three times the width. the perimeter of the base is 960 ft. what are the dimensions of the base?

Answer provided by our tutors

let


l = the length of the base


w = the width of the base


the length of the base measures 60feet less that three times the width:


l = 3w - 60


the perimeter of the base is 960 ft:


2(l + w) = 960 divide both sides by 2


l + w = 960/2


l + w = 480


by solving the system of equations:


l = 3w - 60


l + w = 480


we find:


l = 345 ft


w = 135 ft


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the dimension of the base are: 345 feet and 135 feet.