Sue the T-Rex grows cabbage in a square shaped garden. Each cabbage takes $1 f t^{2}$ $1 ft^2$ of area in the garden. This year, she increased her output by 211 cabbages compared to last year, If the shape remains a square how many cabbages did she grow this year?

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Answer 1 · 2016-05-18T06:51:16

Sue the T-Rex grew $11236$ $11236$ cabbages this year.

Squares of numbers follow the series ${1,4,9,16,25,36,49,......}$

and difference between consecutive squares is the series

${1,3,5,7,9,11,13,15,.......}$ i.e. each term $(2n+1)$ times the previous one.

Hence if output has increased by $211=2*105+1$ , it should be $105^2$ last year i.e. $11025$ last year and $11236$ this year, which is $106^2$ .

Hence, she grew $11236$ cabbages this year.

Sue the T-Rex grows cabbage in a square shaped garden. Each cabbage takes 1 ft^21ft21 ft^2 of area in the garden. This year, she increased her output by 211 cabbages compared to last year, If the shape remains a square how many cabbages did she grow this year?