A garden shop sells 15 " by 15 " square stepping stones for the same price as 20 " round stones. If all stepping stones are the same thickness, which option gives the most rock for the money?

The area of a square stepping stone is (?) in. 2 and the area of a round stepping stone is (?) in. 2 , so the option that gives the most rock for the money is the (round or square) ?

Question

Trenton

Mathematics

5 November, 18:31

A garden shop sells 15 " by 15 " square stepping stones for the same price as 20 " round stones. If all stepping stones are the same thickness, which option gives the most rock for the money?

The area of a square stepping stone is (?) in. 2 and the area of a round stepping stone is (?) in. 2 , so the option that gives the most rock for the money is the (round or square) ?

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Answers (1)

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Josie · Answer 1

Round stone

Step-by-step explanation:

area of square stone, AS = 15 * 15 = 225sqin

area of round stone, AR = 3.14 x (20^2) / 4 = 314sq in

since AR is larger than AS, then the round stone gives more rock for the money