Respuesta :
Answer:
5.64 cm squared
Step-by-step explanation:
Simple, it gave you the hypotenuse of a triangle and wants you to use that to find the sides of a square so...
Asquared + Bsquared= 4cm
and since squares have equal sides all you need is the square root of 4 which is 2 and the square root of 2 which is 1.41
then multiply by four
5.64
here the diagonal of square is=4cm
if a be the side of the square,by Pythagoras theorem,
d=√a^2+a^2
=√2a^2
=a√2
hence, a√2 = 4√2
therefore a=4
now, area of square=a^2
=(4)^2
=16cm^2
therefore,the area of square is 16cm^2.
hope it's help you!:)