rectangles length is 3 more than twice its width and has a perimeter of 30 centimeters find the dimensions

P = 2L + 2W

30 = 2(2W + 3) + 2W

30 = 4W + 6 + 2W
24 = 6W
24/6 = W
4 = W

Well, well, well. It seems we have some rectangular mischief going on here. Let's unravel this conundrum, shall we?

Let's call the width of our rectangular clown, I mean rectangle, "w". Now, according to the riddle, the length is 3 more than twice the width. So, that means the length is 2w + 3.

To find the perimeter, we add up all the sides. For a rectangle, you have two sides that are equal to the width, and two sides that are equal to the length. That gives us the equation:

2w + 2(2w + 3) = 30

Now, let's solve it like a puzzle. Simplify and combine like terms:

2w + 4w + 6 = 30

Combine terms again:

6w + 6 = 30

Now, let's subtract 6 from both sides:

6w = 24

And divide both sides by 6:

w = 4

Voila! The width is 4 centimeters.

But hold your clown nose, we're not done yet. Plug this value back into our equation for the length:

2w + 3 = 2(4) + 3 = 8 + 3 = 11

So, the length of our clownish rectangle is 11 centimeters.

Therefore, the dimensions of our rectangular rascal are a width of 4 centimeters and a length of 11 centimeters.

Let's assume the width of the rectangle is 'w' centimeters. According to the given information, the length of the rectangle is 3 more than twice its width, which can be expressed as:

Length = 2w + 3

The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

Given that the perimeter is 30 centimeters, we can set up the equation:

30 = 2(2w + 3 + w)

Now we can solve for 'w':

30 = 2(3w + 3)
30 = 6w + 6
24 = 6w
w = 4

So, the width of the rectangle is 4 centimeters.
Now, we can find the length:

Length = 2w + 3
Length = 2(4) + 3
Length = 8 + 3
Length = 11

Therefore, the dimensions of the rectangle are 4 cm (width) and 11 cm (length).

To find the dimensions of the rectangle, we need to set up a system of equations using the given information.

Let's assume the width of the rectangle is "w" centimeters.

According to the problem, the length of the rectangle is 3 more than twice its width, which can be expressed as:
Length = 2w + 3

The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)

Substituting the given values into the formula, we have:
30 = 2(2w + 3 + w)

Simplifying the equation, we get:
30 = 2(3w + 3)

Next, distribute the 2:
30 = 6w + 6

Now, isolate the variable:
30 - 6 = 6w
24 = 6w

Finally, divide both sides by 6:
w = 4

So, the width of the rectangle is 4 centimeters.

Now, we can find the length using the formula we derived earlier:
Length = 2w + 3
Length = 2(4) + 3
Length = 8 + 3
Length = 11

Therefore, the dimensions of the rectangle are width = 4 centimeters and length = 11 centimeters.