Question

AC is diagonal of square ABCD, and the length of AC is 4. What is the area of the square?

a) 2√2
b) 6
c) 4√2
d) 8
e) 8√2

Answer 1

option d.
as we know the corner of a square is always 90°. So we can apply that (side of the square)^2+(side of the square)^2 = (diagonal of the side)^2

(side of the square)^2+(side of the square)^2 = 16
16/2=8
8=(side of the square)^2
side of square= squareroot of 8
area of square= squareroot of 8^2=8
hence answer is 8