math problem?

Question

a farmer has a rectangular garden. What is the PERIMETER of the garden?

~the area of the garden is 72 square meters
~the width and length of the garden are whole # of meters
~the # of meters arround the garden is a multiple of 9
~the number of meters arround the garden is not a mutiple of 4

please show your work or tell me what you did to solve the problem.
THANK YOU

Answer 1

okay the area is 72 square meters

so... draw a rectangle, x on the short side, y on the long side

xy = 72

the perimeter would be 2x + 2y

2x + 2y has to be easily divisible by 9 but not by four

what are the multiplying factors of 72?
what could x and y be?

Factors of 72: (2, 36) (4, 18) (8, 9) (3, 24)

try inputing each of those numbers into the 2x + 2y formula...

the only ones that work that will be divisible by 9 and not 4 is
(3, 24)

so the perimeter would be 54 meters!

Answer 2

Since you know that the area of the garden (something times something) is 72 AND that the numbers are whole numbers, think first of factors of 72:
1 and 72
2 and 36
3 and... so on.

Once you've done that, figure out what the perimeter (the meters around the garden) is of each set of numbers (so, 1 and 72 will have a perimeter of 1 + 72 + 1 + 72) and circle all results that are multiples of 9. Then eliminate all multiples of 4. You should then have your answer.

Answer 3

The perimeter is 54.


I tried 8+8+9+9, but it didn't work because then it is a multiple of 4.
So i tried 12 and 6. that didn't work because 12+12+6+6=36.
Then i tried 24 times 3. 24+24+3+3=54. And 54 is not a multiple of 4, but it is a multiple of 9. Also the width and the length are whole numbers.

did that help?

Answer 4

X * Y =(area) square meters
X * Y = 72
9 * 8 = 72

X + X + Y+ Y= Perimeter
9+9+8+8=34

unless it is not actually a rectangle. not sure what you mean by # of meters around the garden (perimeter?)

Answer 5

I think that this is Hopeless I have been trying for the past two hours and got nothing sorry!!

Answer 6

perimeter is 34 =)