Counting the squares

Algebra Level 2

How many squares are there in the unit grid shown above?

20 64 190 65 240 385 304

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1 solution

n u m b e r o f s q u a r e s = 10 ( 10 ) + 9 ( 9 ) + 8 ( 8 ) + 7 ( 7 ) + 6 ( 6 ) + 5 ( 5 ) + 4 ( 4 ) + 3 ( 3 ) + 2 ( 2 ) + 1 ( 1 ) number~of~squares=10(10)+9(9)+8(8)+7(7)+6(6)+5(5)+4(4)+3(3)+2(2)+1(1)

n u m b e r o f s q u a r e s = 100 + 81 + 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 385 number~of~squares=100+81+64+49+36+25+16+9+4+1=385

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