The length of a rectangle is equal to triple the width. if the perimeter of the rectangle is 86cm, determine the length and the width

length of rectangle = 32.25 cm

  Width of rectangle = 10.75 cm

Step-by-step explanation:

Let the length of rectangle be x.

And width of rectangle be y.

According to the problem,

x = 3y    {Since the length of a rectangle is equal to triple the width}

Also,

Perimeter of rectangle = 86

or 2 (x + y) = 86

Plug x =3y in the above equation

We get,  2(3y + y) = 86

    2 * 4y = 86

     4y = 43

      y = 43/4 = 10.75

So, length of rectangle = 3 * 10.75 = 32.25cm

  Width of rectangle = 10.75cm

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: