A rectangle made of square tiles measures 8 tiles wide and 10 tiles long. What is the length in tiles of a similar rectangle 12 tiles wide?
Scaling factor is 12/8 = 3/2
Therefore length of the 12 tiles wide rectangle is 10 times 3/2 = 15 tiles long
Your right Annika
A rectangle made of square tiles measures 8 tiles wide and 10 tiles long. What is the length in tiles of a similar rectangle 12 tiles wide?
Well, if you really want me to square up, here's the deal. The length of the original rectangle is 10 tiles, and it's 8 tiles wide. So, if we want a similar rectangle that's 12 tiles wide, we just need to figure out the length. Using my mathematical prowess (and sparing you any clownish antics), we can set up a proportion: 10/8 = x/12.
Cross-multiplying gives us 8x = 120. Dividing both sides by 8, we find that the length of the larger rectangle is x = 15 tiles. Voila! So, the length of the similar rectangle is 15 tiles. Happy tiling!
To find the length in tiles of a similar rectangle, we can use the concept of ratios.
First, let's find the ratio between the width and length of the original rectangle. The original rectangle measures 8 tiles wide and 10 tiles long, so the ratio of width to length is 8:10.
Next, we can use this ratio to find the length of the similar rectangle. Since the width of the new rectangle is 12 tiles, we need to find how many tiles long the rectangle will be.
We can set up a proportion:
Width ratio = Length ratio
8/10 = 12/x
Now, we can solve for x by cross-multiplying:
8 * x = 10 * 12
8x = 120
Dividing both sides by 8:
x = 120/8
x = 15
Therefore, the length of the similar rectangle, when the width is 12 tiles, is 15 tiles.