Problema Solution
he length of a rectangle is 16 cm longer than twice its width. The perimeter is 122 cm. Find the dimensions of the rectangle.
Answer provided by our tutors
let
l = the length of the rectangle
w = the width of the rectangle
the length of a rectangle is 16 cm longer than twice its width
l = 16 + 2w
the perimeter is 122 cm
2(l + w) = 122 divide both sides by 2
l + w = 61
by solving the system of equations
l = 16 + 2w
l + w = 61
we find
l = 46 cm
w = 15 cm
click here to see the step by step solution of the system of equations
the length is 46 cm and the width is 15 cm.