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

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1

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