Question

How many $(\text{yard}{)}^2$ of area is equal to 72 $(\text{feet}{)}^2$ of area?

• A. $8$(\text{yard})^{2}$
• B. $10$ $(\text{yard}{)}^2$
• C. $12$ $(\text{yard}{)}^2$
• D. None of the above

Answer 1

The correct option is A $8$(\text{yard})^{2}$

Given area is 72 $(\text{feet}{)}^2$.
We know that $1$ yard $=3$ feet
Squaring both sides,
$1$ ${\text{yard}}^2=9$ ${\text{feet}}^2$.
$\Rightarrow 1$ ${\text{feet}}^2=\frac{1}{9}$ ${\text{yard}}^2$
Multiplying both sides by 72, we get
$72$ ${\text{feet}}^2=\frac{72}{9}=8$ ${\text{yard}}^2$