lauren wants to put a border around the perimeter of her room.the room is 13feet long and has a perimeter of 48 feet.how long is the room?
Do you want to know the width of the room?
You've already stated that the room is 13 feet long.
122ft
To find the length of the room, we need to solve for the unknown variable, which in this case, is the length. Let's denote the length as "l".
Given that the room has a perimeter of 48 feet, we can write an equation to represent the perimeter:
Perimeter = 2 * (Length + Width)
Since the room is rectangular and only the length is mentioned, we can represent the equation as:
48 = 2 * (l + w)
However, we don't have the width value. But luckily, we have another piece of information: the room is 13 feet long.
We can substitute this value into the equation:
48 = 2 * (13 + w)
Now, let's simplify the equation and solve for the width:
48 = 26 + 2w
Subtract 26 from both sides of the equation:
48 - 26 = 26 - 26 + 2w
22 = 2w
Divide both sides of the equation by 2 to isolate w:
w = 22 / 2
w = 11
Now that we know the width is 11 feet, we can find the length by substituting the width back into the equation:
48 = 2 * (l + 11)
Simplify the equation:
48 = 2l + 22
Subtract 22 from both sides:
48 - 22 = 2l + 22 - 22
26 = 2l
Divide both sides by 2:
l = 26 / 2
l = 13
Therefore, the length of Lauren's room is 13 feet.