Problema Solution
the length of a rectangle is 2cm more than twice its width. Its area is 144cm^2. What are the dimensions of the rectangle?
Answer provided by our tutors
Let
l = the length of the rectangle
w = the width of the rectangle
A = 144 cm^2 and A = l*w the area of the rectangle
l = 2 + 2*w
l*w = 144
The solution of the system of equations is
l = -16
w= -9
This is not a solution for the problem since the length and the width need to be positive numbers
l = 18 cm
w = 8 cm
is the solution.
Thus the dimensions of the rectangle are 18 cm and 8 cm.