Question

The area of the smaller square

Answer 1

Hmm, so that means that the diagonal of the square is 8

we draw and get a right triangle

pythagorean theorem
the legs are the same measure since it's a square
the hyptonue is 8
so
remember if the legs are a and b and the hypotnuse is c then
a²+b²=c²

alrighty
a=b
c=8

a²+a²=8²
2a²=64
divide both sides by 2
a²=32
sqrt both sides
a=√32

wait, the area is side times side, but it's a square so it's side² which is a²=32

the area is 32

answer is A