Jasmine will run 745.5 yards
Step-by-step explanation:
Jasmine runs along the track. So she will be covering the the circumference of the semi circle on the one side followed by the length followed by the circumference of the semi circle on the other side finally going through the other length
So In 1 lap Jasmine covers
= circumference of the semicircle + length of the rectangle + circumference of the semicircle + length of the rectangle
= 2(circumference of the semicircle + length of the rectangle )
= circumference of the circle + 2(length of the rectangle)
Now lets find the circumference of the circle
circumference of the circle = [tex]2 \pi r[/tex]
We have diameter of the circle = 25 yards
Then radius = [tex]\frac{25}{2}[/tex]= 12.5 yards
Now circumference of the circle = [tex]2 \pi (12.5)[/tex] = [tex]2 \times 3.14 \times 12.5[/tex] = 78.5 yards
In One lap Jasmine will be covering = [tex]78.5 +2(85)[/tex]= 78.5 + 170 = 248.5 yards
In 3 laps = [tex]3 \times 248.5[/tex] = 745.5 yards
