Solve 11

Solve. Round the length and width to the nearest half unit, then solve for the area and perimeter. Enter your answers as whole numbers or decimals.
Margo wants a new carpet and a new wallpaper border for her bedroom. The room is 5.7 yards long and 6 6/7 yards wide. How many square yards of carpet will she need?

Correct answer:

S =  39 ³⁄₃₅ = 1368/35 yd²

Step-by-step explanation:

$$\begin{gathered} a=5.7\text{yd} \\ b=6\frac{6}{7}=6+\frac{6}{7}=\frac{6\cdot 7+6}{7}=\frac{42+6}{7}=\frac{48}{7}\doteq 6.8571\text{yd} \\ S=a\cdot b=5.7\cdot 6.8571=\frac{1368}{35}{\text{yd}}^2=39\frac{3}{35}{\text{yd}}^2=39.0857{\text{yd}}^2 \end{gathered}$$

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