Question

the area of squre is 64 cm2 . find the area of the squre formed by joining the midpoints of the given squre​

Answer 1

Answer:

area of square EFGH=12.5cm²

refer attachment for figure!

Step-by-step explanation:

ar[ABCD]=64

s²=64

s=8

's' is length of side of square ABCD  

EFGH is the square  obtained by joining mid pts  of ABCD

side of square EFGH= (5/2)√2=5/√2

so, area of EFGH=(5/√2)²=25/2=12.5cm²