A gardener arranges his plants in rows to form a perfect square. He finds that in doing so, 25 plants are
left out. If the total number of plants be 2234, find the number of plants in each row.
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Solution:
Here, plants = 1000
Since the remainder is 39.
Therefore 31^2<100031
2
<1000
Next perfect square number 32^2=102432
2
=1024
Hence, number to be added
= 1024 – 1000 = 24
\therefore1000+24=1024∴1000+24=1024
Hence, the gardener required 24 more plants.
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Answer:
Hope this may help you out...
Number of plants in each row is 47.
Total number of plants 2234.
Leftout plants 25.
Therefore, total number of plants used 2234-25=2209.
It is given that the total number of plants used forms a perfect square. Therefore squareroot of 2209=47.
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