Question

Jax ran once around the soccer field and the basketball court. Jane ran once around the tennis court and the soccer field. Pierre ran once around the tennis court and the basketball court. Who covered the smallest distance?

• A. Pierre
• B. Jax
• C. Jane
• D. All 3 ran the same distance.

Answer 1

The correct option is A Pierre

Distance covered by Jax = Perimeter of the soccer field + Perimeter of the basketball court
= $2\times (300+100)$ + $2\times (95+55)$
= $2\times 400$ + $2\times 150$ = 800 + 300
= 1100 feet

Distance covered by Jane = Perimeter of the tennis court + Perimeter of the soccer field
= $2\times (78+27)$ + $2\times (300+100)$
= 1010 feet

Distance covered by Pierre = Perimeter of the tennis court + Perimeter of the basketball court
= $2\times (78+27)$ + $2\times (95+55)$
= 510 feet

Pierre runs the smallest distance.