The perimeter of a rectangle is 34cm. the length is 1cm longer than the width. what are the dimensions of the reactangle? show your work

Let W be the width of the rectangle.

Let L be the length of the rectangle.  

The length is 3 cm more than twice its width. Therefore:

L = 2W + 3  

The perimeter of the rectangle is 34 cm. Therefore:  

2W + 2L = 34  

We can substitute the value of L from the first equation into the second:  

2W + 2(2W + 3) = 34

Distributing the 2 on the right:

2W + 2*2W + 2*3 = 34

2W + 4W + 6 = 34

6W + 6 = 34

Subtracting 6 from both sides:

6W + 6 - 6 = 34 - 6

6W = 28

Dividing both sides by 6:

or,

W = 4 and 2/3  

We can substitute this value of W back into the first equation  

to find the value of L:  

L = 2*W + 3

or,

L = 9 and 1/3 + 3 so,

L = 12 and 1/3

assuming you mean addition: addition and subtraction are reverse operations.

step-by-step explanation:

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4