Posted by **Kathryn** on Thursday, October 8, 2009 at 9:26am.

Mr Mike plants cabbages in a square grid so that the number of rows and columns are equal. He increased the size of his garden eqully in rows and columns to create a new patch that could grow 211 additional cabbages at the same spacing. How many cabbages did he plant in one row in the old garden?

- Parent -
**bobpursley**, Thursday, October 8, 2009 at 9:37am
Make a diagram. For each new row and column, he gets 2n+1 new cabbages (where n is the old number of cabbages per row). The n on the top, n on the side, and one in the corner.

2n+1=211

n=105 works

However, there are other solutions. This one is the first solution, assuming it was just one row,column added. But what about if two were added? What if three rows were added. Use your diagram, and you will see the pattern

## Answer This Question

## Related Questions

- Algebra - Need to get these checked-- 33. What is the area of a square with the ...
- math - mr. goggins planted 10 rows of beans, 10 rows of squash, 10 rows of ...
- maths - a matrix X has a+b rows and a+2 columns while the matrix Y has b+1 rows ...
- chemistry - Which of the following os a true statement about the periodic table...
- math - If matrix A has x rows and x + 5 columns, matrix B has y rows and 11 – y ...
- 3rd grade math - What strategy do you use if you draw an array of 5 columns with...
- Geometry - Let G be a rectangular grid of unit squares with 3 rows and 8 columns...
- math - Arrange 1764 bottles in a shape of a square so the columns and rows are ...
- math - My next-door neighbor loves to grow things in her garden, but she likes ...
- math - Is it possible to arrange the integers from 1 to 240 in a table with 15 ...

More Related Questions