Find the first perfect square that is larger than 12864. We can do this by taking the square root of 12864 finding the ceiling of that result and squaring it
which is
12996
Now find the difference between the next largest perfect square and the original number:
12996-12864
132
So 132 is the integer that needs to be added to 12864 to make it a perfect square.
Check:
Take the square root of 12864+132:
%:12864+132
114
So it’s a perfect square.
I think the answer is c sorry if I’m wrong
He will be making a right triangle with the legs being 24 x 45. The diagonal will be the hypotenuse of the triangle. To find the amount of fencing we need the perimeter of the triangle.
Use Pythagorean theorem to find the length of the hypotenuse.
a^2 + b^2 = c^2
24^2 + 45^2 = c^2
576 + 2025 = c^2
2601 = c^2
sqrt 2601 = c
c = 51
Adding the three lengths the total fencing needed is
51+24+45=120 meters
