Question

The area of a square ABCD is 16 cm². Find the area of the square joining the mid-points of the sides.

Answer 1

8

Step-by-step explanation:

a^2 = 16 => a = 4

side of square joining the mid points of the larger square. = √[(a/2)^2 + (a/2)^2] = √8 = 2√2

area = (2√2)^2 = 8 cm^2