Problema Solution
A building in a city has a rectangle base. The length of the base measures 75 ft less than three times the width. The perimeter of this base is 890 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
P = 890 ft the perimeter
The length of the base measures 75 ft less than three times the width:
l = 3w - 75
The perimeter of a rectangle P = 2(l + w) thus
2(l + w) = 890
by solving the system of equations:
l = 3w - 75
2(l + w) = 890
we find:
l = 315 in
w = 130 in
click here to see the step by step solution of the system of equations:
the dimensions of the base are: the length is 315 in and the width is 130 in.