a local park is shaped like a square with sides 6 meters long. A circular splash fountain is being placed in the middle of the park as shown in the image below. How much of the park will still be grass?

Draw all the three triangles and label them.

First triangle perimeter is 20 + c + a

The second is (20+15) + 70 + (30+a)

Third is (20+35+12) + d + (a+30+b)

Now we need to find scale factor (s.f) from on triangle to the other.

35/20 = 1.75 s.f.

Thus, 70/1.75 = c and it's 40

Now use pythag to find a

A = square root of 20^2 + 40^2

=44.72

(a+30) = 74.72

47/35 = 1.34 s.f.

70/1.34 = d and it's 52.13

Now pythag again to find b

A = square root of 47^2 + 52.13^2

^2 = 70.19

So, a+30+ b = 70.19

40+30 + b = 70.19

b= 70-70.19

b= 0.19

A=40

B=0.19

C=40

D=52.13

Hope this helps!