8.94427191
The pair of square numbers that add up to 80 is 16 and 64. Specifically, (4^2 = 16) and (8^2 = 64), since (16 + 64 = 80).
82
82
(8²)64 + (4²)16 = 80
16 and 64
You have to multiply the two numbers to get the square footage. In this problem the results will be 6,400 square feet.
No, there aren't any square numbers between 70 and 80. From 70 to 80, no number has a perfect square root, so no square number exists between 70 to 80.
80
Let's denote the two square numbers as x^2 and y^2. The difference between two square numbers can be expressed as (x^2 - y^2), which can be factored into (x + y)(x - y). Since the difference is 80, we have (x + y)(x - y) = 80. The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. By testing out different combinations of these factors, we find that the pair of square numbers that make a difference of 80 is 82^2 and 2^2.
Total square feet: 12,000.0
Total square feet: 1,920.0
Infinitely many, since every number in that range is a square of some other number. There are 7 perfect square numbers.