A rectangle has an area of 16 square feet. Its length and width are whole numbers. What is its maximum perimeter?
32 feet
64 feet
34 feet
16 feet

Question

A rectangle has an area of 16 square feet. Its length and width are whole numbers. What is its maximum perimeter?
    32 feet 
   64 feet 
   34 feet 
   16 feet

campbell_st · Answer

so list  the factors of 16 

the perimeter is   P = 2* factor 1 + 2* factor 2

this will allow you to find the max perimeter

anonymous · Answer

you lost me, im a visual learner will you explain it some more @campbell_st

campbell_st · Answer

ok... what whole numbers multiply to 16

can you list them in pairs..?

anonymous · Answer

1*16
8*2

campbell_st · Answer

and there is also 4 * 4

so perimeter = 2* length + 2 * width

so using your measurements above 

1* 16      P = 2*1 + 2*16
2*8        P = 2*2 + 2*8
4*4        P = 2*4 + 2*4

just evaluate to find the rectangle with the largest perimeter.

anonymous · Answer

it cant be4*4 that would be a square @campbell_st

campbell_st · Answer

well a square is a specific rectangle.. but it has the smallest perimeter anyway

anonymous · Answer

34 is the biggest right?

campbell_st · Answer

yes thats it