7. The figure at the right is “4 squares tall.” How many squares would be in a similar figure that is “20 squares tall”?
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Step-by-step explanation:
A 4x4 grid will have: 16 1x1 squares; 9 2x2 squares (as there are 3 squares in each of the top 3 rows that can be an upper right hand corner of a 3x3 square), 4 3x3 squares, and 1 4x4 square. So an n x n grid will have ∑k2 total squares. In this case 16 + 9 + 4 + 1 = 30.
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