Question

22. The area of a square is 64 cm². Find the area of the square formed by joining the mido
of the given square.​

Answer 1

Give the diagram next time.

I think this will helps you.

Answer:

$\huge{ \underline{ \red{ \sf{Given}}}}$

The area of a square is 64 cm²

Find :- Area of square formed by joining the mid of square.

Solution :-

Area of square= S²

${s}^{2} = 64$

$s = \sqrt{64}$

$s = 8$

Therefore the side of square is 8cm

Now we have to find side of inner square :-

$\sqrt{ {4}^{2} } + {4}^{2} = \sqrt{32}$

$= 4 \sqrt{2}$

There fore the side of inner square is 4√2

Area of inner square = s²

(4√2)²=32

Therefore the area of inner square is 32 cm