Problema Solution
A building in a city has a rectangular base. The length of the base measures 75 ft less than three times the width. The perimeter of this base is 810 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
length of the base measures 75 ft less than three times the width
l = 3w - 75
the perimeter of this base is 810 ft
2(l + w) = 810
by solving the system of equations
l = 3w - 75
2(l + w) = 810
we find
l = 285 ft
w = 120 ft
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the dimensions of the base are 285 feet and 120 feet.