Question

Find the area of a square, the length of its diagonal is 64 cm​

Answer 1

diagonals of square are equal d1=d2= 64 cm

square is also a rhombus

area of a rhombus

d1*d2/2

64*64/2

64*32

ans = 2048 cm square

Answer 2

Answer:

area of square=2048

Step-by-step explanation:

diagonal=64cm

Let, consider the side of square is =a

by Pythagoras Theorem,

(a) ^2 +(a) ^2=(64)^2

2a^2=64.64

a^2=64.64/2

a^2=32.64

to taking square root,

a=32√2 cm

area of square=a.a

=32√2.32√2

=32.32.√2.√2

=2048cm^2