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It is 100 that is a perfect square between 50 and 150
The sum of the numbers between 51 and 150 is equal to 10050 - or 50 x 201 - as there are 50 lots of 201 in the sum.
There are 24 perfect squares between 50 and 1000.
150 x 50 = 7,500 square feet.
50