They are 16 and 9
They are: 36-1 = 35
5 and 4
They are 25 minus 16 = 9
289 - 256 = 33
Let the two square numbers be ( a^2 ) and ( b^2 ), where ( a^2 - b^2 = 21 ). This can be factored as ( (a-b)(a+b) = 21 ). The pairs of factors of 21 are (1, 21) and (3, 7). Solving these gives the pairs ( (11, 10) ) or ( (5, 4) ), leading to the square numbers ( 121 ) and ( 100 ) or ( 25 ) and ( 16 ). Thus, the two square numbers can be ( 121 ) and ( 100 ) or ( 25 ) and ( 16 ).
7 squared and 3 squared. 49 - 9 = 40
Let the square number be ( x^2 ). The equation can be expressed as ( x^2 - y = 8 ), where ( y ) is the number being subtracted. Rearranging gives ( y = x^2 - 8 ). The square numbers that fit this equation are 9 and 1, leading to two possible pairs: ( (9, 1) ) and ( (1, -7) ).
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None of this works. There aren't two prime numbers that multiply to 75 and the only two that add to it are 73 and 2. There aren't two prime numbers whose difference is 19. Two numbers that satisfy those conditions are 47 and 28, but 28 isn't prime.
The two square numbers that, when one is subtracted from the other, equal seven are 16 and 9. This is because (4^2 - 3^2 = 16 - 9 = 7). Thus, the square numbers are 16 (from (4^2)) and 9 (from (3^2)).
All you have to do is multiply the two numbers. That gives you 6,600 square feet.
the difference