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: $33\frac{1}{3}$ square yards of carpet is needed.

Step-by-step 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 :-

$Area=length\times width$

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

$Area=20\times15=300\text{ square feet}$

We know that 1 feet =1/3 yard

Now,

$300\text{ square feet}=300\times\frac{1}{3}\times\frac{1}{3}\\=\frac{100}{3} \text{square yards}=33\frac{1}{3}\text{ square yards}$

Hence, $33\frac{1}{3}$ 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