We want to find the length of Dan's closet, given that we know the relation between the bedroom's area and the closet's area.
The length of the closet is 2ft.
The given information is:
Dan's bedroom has an area of 36 ft^2
The bedroom has an area 6 times larger than the closet's area.
Then the area of the closet is:
A = 36ft^2/6 = 6ft^2
Now, if the closet is rectangular, remember that for a rectangle of length L and width W the area is given by:
A = L*W
Here we know that the widt is equal to 3ft, then we can write:
A = 6ft^2 = L*3ft
(6ft^2)/3ft = L = 2ft
The length of the closet is 2ft.
If you want to learn more, you can read:
https://brainly.com/question/21982865
