Problema Solution
the length of a rectangle is 12 mm less than twice its width. if its length is decreased by 2 mm and its width is increased by 3 mm , the perimeter is 86 mm. what are the dimensions of the new rectangle?
Answer provided by our tutors
Let
l = the length of the rectangle
w = the width of the rectangle
P = 2*(l+w) the perimeter of the rectangle
l = 2*w - 12
2*(l - 2 + w + 3) = 68
We need to find the dimensions of the new rectangle.
The solutions of the system of equations
l = 2*w - 12
2*(l - 2 + w + 3) = 68
are
l = 18 mm
w = 15 mm
Thus the dimensions of the new rectangle are 18 - 2 = 16 mm and 15 + 3 = 18 mm.