Problema Solution
The width of a rectangle is 3 cm less than half the length. If the perimeter of the rectangle is 102 cm, find the dimensions of the rectangle.
Answer provided by our tutors
let
w = the width of the rectangle and w>0
l = the length of the rectangle and l>0
the width of a rectangle is 3 cm less than half the length
w = (l/2) - 3
the perimeter of the rectangle is 102 cm
2*(w + l) = 102
by solving the system of equations
w = (l/2) - 3
2*(w + l) = 102
we find
w = 15 cm
l = 36 cm
the dimensions of the rectangle are 15 cm and 36 cm.