Answer:
21.5 square units
Step-by-step explanation:
To find the area of the green, you need to subtract the circles' areas from the total area.
The total space is that of a square with side length 10. So, we know that the total area is 10 * 10 = 100 square units.
Now, to find the area of the circles, we need to find the radius (because the area of a circle is [tex]\pi r^2[/tex]). We know that the diameter of a circle is 2 * radius = 2r. We can also see across two circles, tangent to each other and to the sides of the squares, is the length 10. This means that the two circles' diameters add to 10: 2d = 10, which means that we can substitute d with 2r: 2(2r) = 10, so we know that r = 10/4 = 5/2 units.
Now, we can find the area of the circles:
[tex]\pi r^2=\pi *(5/2)^2=\pi *(25/4)[/tex]
This is the area of one circle. However, we have 4, so we multiply this by 4:
[tex]\pi *(25/4)*4=25\pi[/tex]
Now, we subtract 25pi from 100:
[tex]100-25\pi =21.5[/tex] square units (I rounded to the nearest tenth)
Thus, the answer is 21.5 square units.
Hope this helps!
