Question

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

Answer 1

Answer:

We know that,

Area of square=[(Diagonal)

2

]÷2

=(25×25)÷2sq.cm.

=625÷2sq.cm.

=312.5sq.cm.

Then,

We get area of a square is 312.5sq.cm.

Answer 2

Answer:

Answer:

11.31 m

Step-by-step explanation:

Let 's' be a side of the square,

Area of a square = Side x side

                   Area = s x s

                 64 m² = s x s

                        s² = 64

            Hence, s = √64 = √8 x 8

                            = 8 m

To find the diagonal, split the square into 2 right angled triangles. Name the three sides 'a', 'b' and 'c'.

c² = a² + b² (Using Pythagoras property)

c² = 8² + 8²

   = 64 + 64

   = 128

   = √128

   = 11.31 m

Therefore, the diagonal of square is 11.31 m.

hope this helps you