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Re: A small boulder is located on the boundary of a square garde [#permalink]
Carcass wrote:
A small boulder is located on the boundary of a square garden that measures 5 feet on each side. Six bushes are located inside the square garden.

Quantity A
Quantity B
The sum of the distances from the boulder to each of the bushes
45 feet



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.



Could any one please explain I didn't got this
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Re: A small boulder is located on the boundary of a square garde [#permalink]
Expert Reply
A diagonal of the square has length \(5 \sqrt{2}\). It follows that the distance from the boulder to one of the bushes is less than \(5 \sqrt{2}\). Since there are six bushes inside the garden, the sum of the distances from the boulder to each of the bushes is less than \(6 \times 5 \sqrt{2} = 30 \sqrt{2}\)

\(30 \sqrt{2 } < 30 ⋅ 1.5 = 45
\)


B is the answer
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