A sheet of paper has a perimeter of 39 inches. If the width of the paper is 8.5 inches, what is the length of the sheet of paper?
If the length is x, then
2(8.5+x) = 39
17 + 2x = 39
Now finish it off
To find the length of the sheet of paper, we can use the formula for the perimeter of a rectangle, which is given by:
Perimeter = 2 * (length + width)
We are given that the perimeter of the sheet of paper is 39 inches, and the width is 8.5 inches.
Substituting these values into the formula, we can solve for the length:
39 = 2 * (length + 8.5)
Dividing both sides of the equation by 2, we get:
19.5 = length + 8.5
Subtracting 8.5 from both sides of the equation, we have:
length = 19.5 - 8.5
Simplifying the right side of the equation, we find:
length = 11 inches
Therefore, the length of the sheet of paper is 11 inches.
To find the length of the sheet of paper, we need to use the formula for the perimeter of a rectangle, which is given by P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
In this case, we are given the perimeter as 39 inches, and the width as 8.5 inches. Plugging these values into the formula, we have 39 = 2L + 2(8.5).
To find the length, we need to isolate L. We can start by distributing 2 to 8.5, which gives us 39 = 2L + 17.
Next, we can subtract 17 from both sides of the equation: 39 - 17 = 2L + 17 - 17.
Simplifying this gives us 22 = 2L.
To solve for L, we can divide both sides of the equation by 2: 22/2 = 2L/2.
This simplifies to 11 = L.
Therefore, the length of the sheet of paper is 11 inches.