Answer :
Answer:
20/3 ft or 6 2/3 ft
Step-by-step explanation:
A = 56 2/3 sq ft
W = 8 1/2 ft
L = ?
A = LW
L = A/W
[tex] L = \dfrac{A}{W} [/tex]
[tex] L = \dfrac{56~\frac{2}{3}~sq~ft}{8~\frac{1}{2}~ft} [/tex]
Change the mixed numbers into fractions.
[tex] a\frac{b}{c} = \dfrac{ac + b}{c} [/tex]
[tex] L = \dfrac{\frac{56 \times 3 + 2}{3}}{\frac{8 \times 2 + 1}{2}} [/tex]
[tex] L = \dfrac{\frac{170}{3}}{\frac{17}{2}} [/tex]
[tex] L = \dfrac{170}{3} \div \dfrac{17}{2} [/tex]
[tex] L = \dfrac{170}{3} \times \dfrac{2}{17} [/tex]
[tex] L = \dfrac{170 \times 2}{3 \times 17} [/tex]
[tex] L = \dfrac{17 \times 10 \times 2}{3 \times 17} [/tex]
[tex] L = \dfrac{10 \times 2}{3} [/tex]
[tex] L = \dfrac{20}{3} [/tex]
Answer: 20/3 ft or 6 2/3 ft