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.
