Question

the area of square ABCD is 64sq . cm.find the area of square obtained by joining the mid points of the sides of the square ABCD​

Answer 1

Step-by-step explanation:

Given ABCD is a square

having area 64 sq. cm

Let a is the length of the side

of the square.

Then a = 64

=> a = 8 cm

Again, E, F, G and H are mid-

points of sides of the

square. Then

AH = AG = 4 cm

In ΔAGH,

(GH) = (AG) + (AH)

=> (GH) = 4 + 4

=> (GH) = 16 + 16

=> (GH) = 32

=> GH = √(32)

=> GH = 4√2

Now, Area of EFGH = 4√2 × 4√2

= 32 square meter.

Answer 2

the answer is 32 sq.cm. by this method