My next-door neighbor loves to grow things in her garden, but she likes her garden neat, so she always plants in a exact square with five rows of five plants each. Each row in each direction has exactly one plant of each variety, and so do the center diagonals. Draw a picture of the plants in her garden.
She has 5 poppies
5 daisies
5 snapdragons 5 roses and 5 sweet peas.
We can't draw pictures or diagrams on this board.
p= poppies
d= dasies
s= snapdragons
r= roses
sp= sweet peas
p sp r s d
sp s d r p
d r sp p s
r p s d sp
s d p sp r
Sure! Here is a visualization of your neighbor's garden:
```
P D S R SP
--- --- --- --- ---
P | P | D | S | R | SP | P | D |
--- --- --- --- ---
D | S | R | SP | P | D | S | R |
--- --- --- --- ---
S | R | SP | P | D | S | R | SP |
--- --- --- --- ---
SP | P | D | S | R | SP | P | D |
--- --- --- --- ---
R | SP | P | D | S | R | SP | P |
--- --- --- --- ---
```
In this diagram, each letter represents a plant variety: P for poppies, D for daisies, S for snapdragons, R for roses, and SP for sweet peas. Each row and column has exactly one plant of each variety, and the center diagonals also have one of each variety.
To draw a picture of your neighbor's garden with five rows of five plants each, you can follow these steps:
Step 1: Create a grid of 5x5. This will represent the garden layout.
Step 2: Label each row and column with numbers 1 to 5.
Step 3: Fill in the grid with the plants in an organized manner. Since each row and column should have one plant of each variety, you can follow this pattern:
In the first row (row 1), place one poppy, one daisy, one snapdragon, one rose, and one sweet pea.
In the second row (row 2), shift the plants one spot to the right. So, the second row will have one sweet pea, one poppy, one daisy, one snapdragon, and one rose.
In the third row (row 3), shift the plants one more spot to the right. So, the third row will have one rose, one sweet pea, one poppy, one daisy, and one snapdragon.
In the fourth row (row 4), shift the plants one more spot to the right. So, the fourth row will have one snapdragon, one rose, one sweet pea, one poppy, and one daisy.
In the fifth row (row 5), shift the plants one more spot to the right. So, the fifth row will have one daisy, one snapdragon, one rose, one sweet pea, and one poppy.
Your final grid should look like this:
1 poppy daisy snapdragon rose sweet pea
2 sweet pea poppy daisy snapdragon rose
3 rose sweet pea poppy daisy snapdragon
4 snapdragon rose sweet pea poppy daisy
5 daisy snapdragon rose sweet pea poppy
This layout ensures that each row, column, and diagonal has exactly one plant of each variety.