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Question

Jax runs once around the square block and the square park. Jane runs once around the swimming pool and the square block. Max runs once around the square park and the swimming pool. Who covers the greatest distance?

A
Jax
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B
Jane
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C
Both cover the same distance
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D
Max
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Solution

The correct option is D Max
Distance covered by Jax = Perimeter of square block + Perimeter of square park
= 4×50 + 4×150 = 200 + 600
= 800 feet

Distance covered by Jane = Perimeter of swimming pool + Square block
= 4×100 + 4×50
= 400 + 200
= 600 feet

Distance covered by Max = Perimeter of square park + Perimeter of square swimming pool
= 4×150 + 4×100
= 600 + 400
= 1000 feet

Since, 1000 ft > 800 ft > 600 ft,
therefore, Max covers the greatest distance.

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