Answer:
A=13.47 in.
P=14.68 in.
Step-by-step explanation:
First, we have to figure out the sides of square ABCD. The diagonal forms the hypotenuse of a right equilateral triangle.
a²+a²=6²
2a²=36
a²=18
a=√18
a=4.24
Half of 4.24 would be the distance From each corner of ABCD to the neighboring midpoints. (2.12)
2.12²+2.12²=c²
4.49+4.49=c²
13.48=c²
√13.48=c
3.67=c
Now that we know each side of the shaded square, we can get the area and perimeter.
A=3.67x3.67=13.47
P=3.67x4=14.68
