It takes 69 inches of ribbon to make a bow
and wrap the ribbon around a box, as shown.
The bow takes 30 inches of ribbon. The width
of the box is 11 inches.
What is the height of the box?
Answer in units of inches.
69 - 30 = 39 inches of ribbon is left for wrapping around. Let w be the width and h be the height.
2w + 2h = 39
You know what w is. Solve for h
To find the height of the box, we need to subtract the length of the ribbon used for the bow from the total length of ribbon used to wrap the box.
We know that it takes a total of 69 inches of ribbon to make the bow and wrap it around the box. The bow itself requires 30 inches of ribbon. Therefore, the remaining ribbon used to wrap the box is 69 inches - 30 inches = 39 inches.
Now, let's consider the dimensions of the box. We are given the width of the box, which is 11 inches.
The ribbon used to wrap the box will go around the width twice (once on the top, and once on the bottom) and around the height once. So, if we let the height of the box be represented by h, then the total length of ribbon used to wrap the box can be calculated as follows:
Total length of ribbon = 2 * width + height
39 inches = 2 * 11 inches + h
Simplifying this expression, we have:
39 inches = 22 inches + h
Subtracting 22 inches from both sides of the equation, we get:
h = 39 inches - 22 inches
h = 17 inches
Therefore, the height of the box is 17 inches.