Item 17
A rectangular room is 10 feet longer than it is wide. One-foot-by-one-foot tiles cover the entire floor. Let w represent the width (in feet) of the room. Write an expression in simplest form that represents the number of tiles along the outside of the room. I need to simplify an equation for this!!! Help!!!
To find the number of tiles along the outside of the room, you would need to calculate the perimeter of the room.
The room's length is 10 feet longer than its width, so we can write the length as w + 10.
The width of the room is represented by w.
The perimeter of a rectangle is given by the formula: P = 2(w + l), where P is the perimeter, w is the width, and l is the length.
Substituting the given values into the formula, we get:
P = 2(w + w + 10)
P = 2(2w + 10)
P = 4w + 20
Therefore, the expression in simplest form that represents the number of tiles along the outside of the room is 4w + 20.
To find the number of tiles along the outside of the room, we need to calculate the perimeter of the room. The perimeter is the sum of all the sides of the rectangle.
Let's start by labeling the sides of the rectangle:
Width = w feet
Length = w + 10 feet
The perimeter of a rectangle is given by the formula: P = 2(length + width)
Substituting the given values into the formula, we have:
P = 2(w + (w + 10))
P = 2(2w + 10)
P = 4w + 20
Therefore, the expression in simplest form that represents the number of tiles along the outside of the room is 4w + 20.
ur mom
There are w tiles on each end
There are w+10 - 2 tiles along each side. (the ends are already tiled)
so, what do you think?