Answer:
A
Explanation:
The area of a square can be found using the formula A = s^2, where A is the area and s is the length of a side. If the area of the square is 49 square units, we can set up the equation:
A = s^2
49 = s^2
s = sqrt(49) = 7
The diagonal of a square is found using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse (the longest side). In a square, the diagonal is the longest side, and the sides are equal, so we can use the theorem to find the diagonal:
d^2 = s^2 + s^2
d^2 = 2s^2
d = sqrt(2s^2) = sqrt(2 * s^2) = sqrt(2 * 49) = sqrt(98) = 7 * sqrt(2)