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I need an answer and explanation about how it corrects the misconceptions the artist had

I need an answer and explanation about how it corrects the misconceptions the artist-example-1
User RiQQ
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1 Answer

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The artist thought a decrease of 14% over the original tile 50 x 50, that's why she thought 49 x 49 was wrong.

But when she calculated she correctly calculated a decrease by 14% over the 57 x 57 tile that's how she had the same results.

1) Since the ceramic artist is aware that clay shrinks by 14% then the calculation should be:


50\cdot(1+0.14)=57

2) So since the dimensions will shrink it, then this artist correctly calculated the new tile to 57 x 57 (since squares have the same length and width)

2.2) When the clay was in the oven, it shrank following this equation (minus 14%):


57*(1-0.14)=57*(0.86)=49.02

She thought that there was an error, probably because she calculated

a decrease of 14% of that original tile would yield a 43 x 43 tile, instead

of 57 x 57 Because: 50x ( 1-0.14)= 43.

3) Hence, the answer is:

The artist calculated a decrease of 14% over the original tile 50 x 50, that's

why she thought 49 x 49 was wrong.

User Roedy
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