Don is planting flowers in the school garden's planter box. The planting are is five and one-half feet long and 10 inches wide. Each plant is 2 inches wide. There must be 8 inches of space between the flowers. What is the largest number of plants he can put into the planter box? Using complete sentences, explain (in detail) your reasons for your answer. You many draw a picture or some other illustration,, but it must still be accompanied by complete sentences explaining your placement of the plants.

I must complete this today.

5.5 feet = 66 inches

each plant is at the center of a 6x6 square (why?)

the 10" width of the box only allows 1 row of plants, unless they can be planted 1" from the box sides, in which case there may be 2 rows.

So, we have 66/6 = 11 plants in each row, assuming that no plant is planted exactly on the end of the box.

To find the largest number of plants Don can put into the planter box, we need to calculate the available length and width in the box, taking into account the width of the plants and the spaces between them.

First, we should convert the length and width of the planting area into the same unit of measurement. Since the width is given in inches, let's convert the length to inches as well. Since there are 12 inches in a foot, 5 and 1/2 feet is equal to 5.5 feet x 12 inches/foot = 66 inches.

Next, let's calculate the available width for the plants in the box. The width of the box is given as 10 inches. However, we need to subtract the space between each plant, which is 8 inches. Therefore, the width available for each plant is 10 inches - 8 inches = 2 inches.

To find the largest number of plants, we divide the available length (66 inches) by the width of each plant with space (2 inches). Doing this calculation, we get 66 inches / 2 inches = 33.

So, the largest number of plants Don can put into the planter box is 33.

To help visualize this placement, here is a simple illustration:

|--- Plant + Space ---|--- Plant + Space ---|--- Plant + Space ---|...|--- Plant + Space ---|

In this illustration, each "Plant + Space" section represents one plant and the space between them. There are 33 of these sections, which means 33 plants in total.