A GARDENER ARRANGES PLANTS IN ROWS TO FORM A SQUARE. HE FINDS THAT DOING SO 15 PLANTS ARE LEFT OUT . IF THE TOTAL NUMBER OF PLANTS ARE 3984,THEN FIND THE NUMBER OF PLANTS IN EACH ROW
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Area of square = a.a = a^2
A^2 + 15 = 3984
A^2 = 3969
A = sqrt of 3969
A = 63
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Therefore the number of plants in each row is 63.
Given:
The gardener arranges the plants in the form of a 'square'.
After arranging the plants in the form of a square he is left with 15 plants.
The total number of plants = 3984
To Find:
The number of plants in each row.
Solution:
The given question can be solved very easily as shown below.
Given that,
After arranging the plants in the form of a square he is left with 15 plants.
Number of plants in a row or column = a
⇒ ( Number of plants in a row × Number of plants in a column ) + 15 = 3984
⇒ ( a × a ) + 15 = 3984
⇒ a² = 3984 - 15 = 3969
⇒ a = √3984 = 63
Therefore the number of plants in each row is 63.
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