. Use the Pythagorean Theorem to find the side length, s, of Square ABCD in
feet.
Area = a
2 + b
2 = c
2 where c is the side length, s.
There seems to be a misunderstanding reflected in the formula given. The Pythagorean Theorem is applicable for right-angled triangles, and it states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as:
a^2 + b^2 = c^2
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
For a square, all the sides are of equal length. So, if we call each side of Square ABCD 's', then to find the area of the square, we simply square the length of one side:
Area = s^2
This means that if you want to find the side length 's' for Square ABCD, and you know the area of the square, you just take the square root of the area. Let's assume the area is given as 'A'. Then, the formula to find the side length would be:
s = √A
Since you have provided the area as 'a', without loss of generality, we can treat 'a' as the area. So applying the formula:
s = √a
This will give you the length of one side of square ABCD.