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Similar Shapes

Directions: Using the digits 0-9, at most one time each, fill in the boxes so that one rectangle is a scaled drawing of the other.



Enlargements occur when the scale factor is greater than 1.

How many times bigger is the second rectangle compared to the first rectangle?



There are many answers. Here are two of them:

First rectangle is 2 x 8
Second rectangle is 14 x 56
Scale factor would be 7.

First rectangle is 3 x 8
Second rectangle is 15 x 40.
Scale factor would be 5.

Source: Gian Cavaliere

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  1. How is the answer 3×8 and 15×40 with scale factor 5 following the directions? Are we allowed to use two digit numbers?

    • Sure you can! You can adapt and change the question in any way you want. Maybe only allow single digits at first and then if they are able to complete that, allow them to try two and even three digit numbers.

    • Sorry for the confusion. Yes, two-digit numbers are allowed. The problem has been updated to reflect that.

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