Two rectangular boxes are similar. One box has the length of 24 inches. and a width of 9 inches. If the other box has a length of 16 inches., what is its width?
the dimensions would be proportional.
so solve
w/16 = 9/24
The width will be 6 in.
To find the width of the second box, we can use the concept of similarity. Similar shapes have proportional sides.
Let's set up a proportion using the given lengths of the two boxes:
Length of first box / Length of second box = Width of first box / Width of second box
Plugging in the values we have:
24 / 16 = 9 / x
Now, cross-multiply to solve for x:
24x = 16 * 9
Divide both sides of the equation by 24:
x = (16 * 9) / 24
Simplifying further:
x = 144 / 24
x = 6
Therefore, the width of the second box is 6 inches.