Farmer Ben wants to plant an orchard inside a 36 ft by 60 ft area, where each tree requires seven square feet of space. which of the following claims can legitimately be made from the given information?

1. The 26 by 60 ft area isn't big enough for planting an orchard.
2. Farmer Ben can plant at most 308 trees.
3. Farmer Ben can plant at least 309 trees.
4. Farmer Ben can plant all the trees he purchased for the area.

Question

Farmer Ben wants to plant an orchard inside a 36 ft by 60 ft area, where each tree requires seven square feet of space. which of the following claims can legitimately be made from the given information?

1. The 26 by 60 ft area isn't big enough for planting an orchard. 
2. Farmer Ben can plant at most 308 trees.
3. Farmer Ben can plant at least 309 trees. 
4. Farmer Ben can plant all the trees he purchased for the area.

jim_thompson5910 · Answer

how far did you get with this one? were you able to get started anywhere?

gatsbyyy · Answer

Not that far! I don't even know where to begin!

gatsbyyy · Answer

This is the only information the problem gave me.

jim_thompson5910 · Answer

to be honest, the claim `1. The 26 by 60 ft area isn't big enough for planting an orchard. ` seems to be too vague. What exactly is "big enough"? How many trees make up an orchard? Those questions need to be addressed 

So I'm going to skip over claim #1

jim_thompson5910 · Answer

what is the area of the rectangle that has length 36 and width 60 ?

gatsbyyy · Answer

2160

gatsbyyy · Answer

Do I divide this number by 7?

jim_thompson5910 · Answer

each tree needs 7 sq ft of space, so how many trees can we plant?

jim_thompson5910 · Answer

yes

gatsbyyy · Answer

308.57.

gatsbyyy · Answer

Would it be number 2 then? Since 309 trees would go over the area?

jim_thompson5910 · Answer

no, the highest we can go is 308.57

we can't plant half a tree, so we go down instead of up

gatsbyyy · Answer

Oh, okay. Thank you so much!

jim_thompson5910 · Answer

no problem