in Perfectville, the streets are all $20$ feet wide and the blocks they enclose are all squares of side length $400$ feet, as shown. Sarah runs around the block on the $400$-foot side of the street, while Sam runs on the opposite side of the street. How many more feet than Sarah does Sam run for every lap around the block?

Respuesta :

Answer:

  • 160 feet

Step-by-step explanation:

One full round that Sarah makes is:

  • 400*4 = 1600 feet

One full round that Sam makes is greater by 2*20 = 40 feet:

  • (400 + 40)*4 = 1760 feet

The difference is:

  • 1760 - 1600 = 160 feet