Question

On the rectangle shown below, the ratio of base to height is 12:5.If you created a new rectangle by doubling the length of the base and tripling the height, would the newrectangle be proportional to the original? Show your thinking mathematically

Answer 1

To solve this problem let's draw a picture.

We must compare ratios between the two rectangles. Like this.

For the first rectangle we may write:

12 / 5

For the second one we get:

24 / 15

But we can simplify that. Divide numerator and denominator by 3. We have:

24 / 15 = 8 / 5

Comparing both fractions:

12 / 5 ≠ 8 / 5

Answer: The new rectangle won't be proportional to the original.