One side of square a is a diagonal of square b what is the ratio of the area of square b to the area of square a? express and answer as common fraction.

check the picture below.

so if each side of square A is x long, its area is then x*x or namely x².

now, we know the diagonal of square B is x long, so let's find how long is each side, namely how long is y.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x