Question

The Smiths plan to recarpet their family room, which measures 15 ft. by 20 ft. How many square yards of carpet are needed?

Answer 1

Answer:
`33(1)/(3)` square yards of carpet is needed.

Explanation:

Given: The dimensions for the carpet is 15 ft. by 20 ft.

We know that area ( in square units ) of a rectangle is given by :-

`Area=length* width`

Therefore, area of the required carpet is given by :-

`Area=20*15=300\text{ square feet}`

We know that 1 feet =1/3 yard

Now,

`300\text{ square feet}=300*(1)/(3)*(1)/(3)\\=(100)/(3) \text{square yards}=33(1)/(3)\text{ square yards}`

Hence,
`33(1)/(3)` square yards of carpet is needed.

Answer 2

1 ft = 1/3 yards

Area = width x length

w= 15 x 1/3 = 5
l = 20 x 1/3 = 6 2/3

Area = 5 x 6 2/3
33 1/3 square yards