You have 24 feet of fence to make a rectangular garden. Each side will measure a whole number of feet. How many different-sized rectangular gardens can you make?

a.

3 gardens

c.

12 gardens

b.

6 gardens

d.

15 gardens

Question

You have 24 feet of fence to make a rectangular garden. Each side will measure a whole number of feet. How many different-sized rectangular gardens can you make?





a. 


3 gardens 


c. 


12 gardens 




b. 


6 gardens 


d. 


15 gardens

campbell_st · Answer

well the perimeter of the rectangle is 24 ft

so 24 = 2* length + 2* width

so  divide each term by 2

and   12 = length + width

find all the integers that add to 12

              Length | width  |  Area 
              ------------------------
                   11   |   1     |  11 x 1 = 11
                   10   |    2    |   10 x 2 = 20
                          |          |

just repeat the process for all the pairs