The square - midpoints

The area of a square ABCD is 36 cm2. Find the area of the square obtained by joining the midpoints of the sides of the square ABCD.

Correct answer:

S2 =  18 cm2

Step-by-step explanation:

S1=36 cm2  S1 = a2 a=S1=36=6 cm  (a/2)2+(a/2)2 = b2  b=2 (a/2)2=2 (6/2)2=3 2 cm4.2426 cm  S2=b2=4.24262=18 cm2



Did you find an error or inaccuracy? Feel free to write us. Thank you!







You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: