Question

Is this correct?
question:
Becky is growing a garden in her backyard. It is in the shape of a rectangle 6 feet wide by 3 feet long. Her husband said that he can grow the same amount of crop in a third of the space. What are the dimensions of his garden?

my answer:
wide = 1/3 * 6 = 2
long = 1/3 * 3 = 1

So, the dimensions are 2 feet by 1 feet.

Answer 1

He uses 1/3 the area
is 2 sq ft 1/3 the area of 18 sq ft ?

Answer 2

let the dimensions be x & y
xy=1/3(6*3)
6/x=3/y

Answer 3

find x & y

Answer 4

to answer this question, I would first figure out the area of Becky's garden
3*6 = 18

then I would divide that by 3 to get 18/3 = 6 sq. ft
then I would look for an answer choice that has 6 sq ft as the answer

Answer 5

alright, here's my new answer:
6 * 3 = 18

1/3 * 18 = 6

If the area is 6 square feet, then the dimensions would be 3 * 2.

Answer 6

They do not say the smaller plot is "similar" to the larger plot.
But if we wanted the dimensions of a similar plot, we would divide the L and W by sqr(3)

in this case we would get
6/sqr(3) * 3/sqr(3) which can be written as
2 sqr(3) * sqr(3)

if it does not have to be similar, there are lots (infinite) number of choices.
2*3 works
so does 1*6
and so on.

Answer 7

Yeah I know, but it did ask what were the dimensions, so I used that.

Answer 8

They may want the smaller plot to be similar, so be sure you can give the dimensions for that case. The idea is if the *area* is smaller by 1/3 , then each "length" is 1/sqr(3) smaller