Answer:
![1,207.6\ m](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4u8pwbcdpz27cc2ymfrrilsx7o5zj49hkm.png)
Explanation:
step 1
Find the perimeter of one lap
we know that
The perimeter of one lap is equal to the circumference of a complete circle (two half circles is equal to one circle) plus two times the length of 96 meters
so
![P=\pi D+2(96)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xbjopvsiz3vsb8v8tbs1x5j5hzjtwjztpq.png)
we have
![D=35\ m](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k8nh8sb09r25jc8cmblhbn78u2gr9gkqld.png)
![\pi =3.14](https://img.qammunity.org/2020/formulas/mathematics/high-school/595myhvi9x0vjp0b1ku7bsoelmk1x8jihg.png)
substitute
![P=(3.14)(35)+2(96)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6spezkyzy754zs44ku1nhouuf0o973hcpc.png)
![P=301.9\ m](https://img.qammunity.org/2020/formulas/mathematics/middle-school/leb7pjfz4wjxht4pyonzysnfv448v9lbnu.png)
step 2
Find the total meters of four laps
Multiply the perimeter of one lap by four
![P=301.9(4)=1,207.6\ m](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jt2xmgc0quhm03vkslh495y6r7e7tsevgy.png)