Chapter 6.3, Problem 46HP

To determine

To explain: the dimensional analysis to convert 120 square feet to square yards if 1 square yard is equal to 9 square feet.

Answer to Problem 46HP

  $13.3{\text{yd}}^{\text{2}}$ .

Explanation of Solution

Given information:

M needs 120 square feet of carpeting for her bedroom.

Calculation:

Covert $120{\text{ft}}^{\text{2}}$ into ${\text{yd}}^{\text{2}}$ .

Use the conversion $\text{1}{\text{yd}}^2=9{\text{ft}}^{\text{2}}$ .

Use the conversions,

  $\begin{array}{c}120{\text{ft}}^{\text{2}}=120{\text{ft}}^{\text{2}}\times \frac{1{\text{yd}}^{\text{2}}}{9{\text{ft}}^{\text{2}}}\\ =\frac{120}{9}{\text{yd}}^{\text{2}}\\ =13.3{\text{yd}}^{\text{2}}\end{array}$

Hence, 120 square feet can be converted in $13.3{\text{yd}}^{\text{2}}$ .