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Jake walked all the way around the perimeter of a square playground that has sides n feet long, then he walked an additional 20 feet. Which person walked the same distance as Jake?

1 Answer

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Options :

Sarah, who walked a straight distance of n+10 feet.

Nancy, who walked around a square garden measuring n+5 feet on each side.

Jules, who walked around a rectangular room measuring n feet wide and 10 feet long.

Billy, who walked around a square lot measuring 20 feet on each side

Answer:

Nancy, who walked around a square garden measuring n+5 feet on each side.

Explanation:

Given that:

Jake walked round the perimeter of a square with sides n feets long

Additional distance walked = 20 feets

Perimeter of a square = 4n

Where n = Length of the side

Hence Jake's total distance :

Perimeter walked + additional distance

4n + 20 feets

Comparing to Distance walked by Nancy:

Side length of square garden = n+5

Perimeter of the garden = 4 * side length

Perimeter of the garden = 4 * (n + 5)

Perimeter of the garden = 4n + 20 feets

Hence, Nancy walked the same distance as Jake

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