P=2l+2w

Solve for l.
Please show me how you got your answer so I will understand how to do these problems. Thank you.

P=2l+2w

Perimeter = 2 * length + 2 * width

This is how you find the perimeter (distance around) a rectangle.

Suppose you want to put a border around a room. If the room is 15 feet long and 12 feet wide, then you'd figure the perimeter this way:

P = 2l + 2w
P = (2 * 15) + (2 * 12)
P = 30 + 24
P = 54

So -- you'd need 54 feet of the border for the room.

thanks!

You're welcome.

How many gallons of paint is needed to paint a wall whose dimensions are 11 feet by 19 feet with a 8 foot ceiling?

To solve for \( l \) in the equation \( P = 2l + 2w \), we can follow these steps:

Step 1: Start with the equation \( P = 2l + 2w \).

Step 2: Subtract \( 2w \) from both sides of the equation to isolate the term \( 2l \):

\[ P - 2w = 2l \]

Step 3: Divide both sides of the equation by 2 to solve for \( l \):

\[ \frac{{P - 2w}}{2} = l \]

This gives us the solution for \( l \).

When understanding how to solve such problems, it helps to know the order of operations or BIDMAS rule. BIDMAS stands for Brackets, Indices, Division and Multiplication (from left to right), and Addition and Subtraction (from left to right). We use this rule to simplify equations by following the order of operations.

In this case, to solve for \( l \), we had to isolate the term \( 2l \) by performing the inverse operations: subtracting \( 2w \) and then dividing by 2. These steps help in isolating \( l \) and finding its value.