a rectangular sheet of plywood is seven times longer than its width,write an simlify an expression for the perimeter of the rectangle in terms of the width.
w = width
7w = length
P = 2w + 2L
P = 2w + 2(7w)
I leave it to you to simplify.
To simplify an expression for the perimeter of a rectangle in terms of the width, we need to understand the formula for finding the perimeter of a rectangle.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (Length + Width)
In this case, the rectangular sheet of plywood is seven times longer than its width. Let's denote the width as "w."
Length = 7w
Now, substitute the values for Length and Width into the formula for the perimeter:
Perimeter = 2 * (7w + w)
Simplify the expression:
Perimeter = 2 * (8w)
Perimeter = 16w
Therefore, the simplified expression for the perimeter of the rectangle in terms of the width, "w," is 16w.