Answer:
24 cm
Step-by-step explanation:
Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.
Area of the shaded region (square) = [tex]9\,\, cm^2[/tex]
To find: the perimeter of the star
Solution:
Area of the shaded region (square) = [tex]9\,\, cm^2[/tex]
Area of square = [tex](side)^2[/tex]
[tex](side)^2=9\\side=3\,\,cm[/tex]
As each equilateral triangle has side lengths that are the same as the side length of the square,
length of side of the star = 3 cm
Perimeter is the sum of lengths of the sides.
Perimeter of star = sum of 8 sides of the star
= 8 × 3 = 24 cm
