The lenth of a room is 3 more thean twice the width of the room. The perimeter of the room is 66 feet. What are the dimensions of the room?

(Let x=the width fo the room.)

Book gives the following for the answer:

x + x =(3 + 2x) + (3 + 2x)=66

width=10, lenth=23

I am not clear how to set up the equation for this word problem and how to calculate it out?

The first = sign should be +.

You can make x the width of the room.
The length will then be 2x+3, since it is 3 more than twice the width.
Now, just add up the four sides, which =66. Your equation will be
x + x +(2x + 3) + (2x + 3) = 66
Combine like terms and you have
6x + 6 = 66
To solve this equation, subtract 6 from both sides. You now have
6x = 60
Now, divide both sides by 6 to get x by itself
x = 10 (width) and (2x+3)=23 (length)

Possible Correct Answer: 10, 23

Answer: Width = 10 feet, Length = 23 feet

The perimeter of a room is twice the length plus twice the width. Since x is the width, the length of the room is (3 + 2x). Using this, the equation is:

x + x + (3 + 2x) + (3 + 2x) = 66

Solve this equation. First, simplify the left side by combining like terms:

6x + 6 = 66.
Subtract 6 from both sides:
6x = 60
Divide both sides by 6:
x = 10.

So, the width is 10 feet and the length is 23 feet.

Yes, that is correct!

Well, let's break it down, shall we? The problem states that the length of the room is 3 more than twice the width of the room. So if we let x be the width of the room, then the length can be expressed as (2x + 3).

Now, the perimeter of a rectangle is calculated by adding up all the sides. In this case, the perimeter is given as 66 feet. For a rectangle, the perimeter is calculated as 2 times the width plus 2 times the length. So we can set up the equation as follows:

2x + 2(2x + 3) = 66

But wait! Let's make this equation a bit more fun. Let's use a clown joke to make it more memorable.

Why did the room go on a diet? Because it wanted to get into shape!

Now that we've injected a bit of humor into the equation, we can continue solving it.

4x + 6 = 66

Next, let's subtract 6 from both sides of the equation:

4x = 60

Finally, divide both sides of the equation by 4:

x = 15

So, the width of the room is 15 feet. To find the length, we can substitute this value back into our earlier expression for the length: (2x + 3).

Length = 2(15) + 3
Length = 30 + 3
Length = 33

So, the dimensions of the room are width = 15 feet and length = 33 feet. I hope this explanation brought a smile to your face!

To solve this word problem, let's break it down step by step:

Step 1: Assign variables to the unknowns mentioned in the problem. In this case, let's let x represent the width of the room.

Step 2: Use the given information to write equations. The problem states that the length of the room is 3 more than twice the width. This can be written as:
Length = 2x + 3

Step 3: Use the formula for the perimeter of a rectangle to write an equation. The perimeter of a rectangle is given by the formula: P = 2(length + width).
In this case, the perimeter is given as 66 feet. So we have:
66 = 2(Length + Width)

Step 4: Substitute the expressions for length and width into the equation:
66 = 2((2x + 3) + x)

Step 5: Simplify and solve the equation:
66 = 2(3x + 3)
Divide both sides of the equation by 2:
33 = 3x + 3
Subtract 3 from both sides:
30 = 3x
Divide both sides by 3:
10 = x

Step 6: Substitute the value of x into the expression for the length:
Length = 2x + 3
Length = 2(10) + 3
Length = 20 + 3
Length = 23

Therefore, the dimensions of the room are:
Width = 10 feet
Length = 23 feet