A rectangle is divided into four smaller rectangles whose areas in sq cm are 35, 42, 10, and N, as shown. The length of each side of every rectangle is a whole number. What is the value of N, in sq cm?

The value of N is 12 sq cm.

Step-by-step explanation:

1. Find the greatest common factor of 35 and 42 to find the length (horizontal). The GCF is 7.

2. The horizontal length of the 35 and 42 sq cm is 7, and the heights are 5 and 6 respectively.

3. Moving on tot he 10 sq cm rectangle, since the height of just that one rectangle is  and 10/5 is 2, the horizontal length is 2.

4. For n, the horizontal length is 2 and the height is 6. 2 X 6 is 12 sq cm.

12 sq cm

Step-by-step explanation:

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