Kate uses a copy machine to enlarge her rectangular design that is 6 inches wide and 8 inches long. The new width is 10 inches long. What is the new length. I got some weird number like 13.333. I multiplied 8 times 10 and divided 80 by 6.
your "weird" answer is correct
To find the new length, we can set up a proportion between the original dimensions and the enlarged dimensions.
Let's call the original length L and the original width W.
Original dimensions: L = 8 inches, W = 6 inches.
We are told that the new width W' is 10 inches. We need to find the new length L'.
The proportion can be set up as follows:
W/W' = L/L'
Plugging in the given values:
6/10 = 8/L'
To solve for L', we can cross-multiply and solve for L':
6L' = 10 * 8
6L' = 80
L' = 80 / 6
L' ≈ 13.333 inches
So, the new length, rounded to the nearest hundredth, is approximately 13.33 inches.
To find the new length, we need to set up a proportion based on the original dimensions and the enlargement ratio.
Let's define the original width as "w1" (6 inches) and the original length as "l1" (8 inches). The new width is "w2" (10 inches), and we want to find the new length, which we'll denote as "l2."
Using the proportion:
(w1 / l1) = (w2 / l2)
We can substitute the known values into the equation:
(6 / 8) = (10 / l2)
To solve for l2, we can cross-multiply and find:
6 * l2 = 8 * 10
Now, let's solve for l2:
6l2 = 80
l2 = 80 / 6
l2 ≈ 13.33333
So, the new length is approximately 13.33 inches.