What is the perimeter of this shape?

59.4 km

Step-by-step explanation:

First you need to find the circumference of the circle. 20*3.14=62.8. Then, you divide this by two, because there is only half of a circle, to get 31.4.

Then you can just add 16 + 12 + 31.4 to get 59.4.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.