Problema Solution
The length of a rectangle is 3 1/2 times it's width. It's perimeter is 108 cm. find it's length and width.
Answer provided by our tutors
let
l = the length of the rectangle
w = the width of the rectangle
The length of a rectangle is 3 1/2 times it's width:
3 1/2 = (3*2 + 1)/2 = 7/2
l = (7/2)w
It's perimeter is 108 cm
2(l + w) = 108 divide both sides by 2
l + w = 54
by solving the system of equations
l = (7/2)w
l + w = 54
we find
l = 42 cm
w = 12 cm
click here to see the step by step solution of the system of equations
the length is 42 cm and the width is 12 cm.