Respuesta :
Answer:Total number of side pieces [tex] = 14[/tex]
Step-by-step explanation:
To find the number of side pieces we use formula = [tex] \frac{Area of wooden plank}{Area of 1 side piece} [/tex]
Area of wooden plank [tex]= length \times width[/tex]
Length of wooden plank [tex] =\frac{77}{8}feet =\frac{77}{8} \times 12 [/tex] inches
Length [tex] = \frac{231}{2} [/tex] inches
Width of plank [tex] = \frac{9}{16} foot = \frac{9}{16} \times 12 =\frac{27}{4}[/tex] inches
Area of plank[tex]= \frac{231}{2} \times \frac{27}{4} [/tex] sq inches
Area of 1 side piece [tex]= \frac{33}{4} \times \frac{27}{4}[/tex] sq inches
Now using formula
Number of pieces [tex]= \frac{Area wooden plank}{Area of 1 side piece} [/tex]
[tex] =(\frac{231}{2} \times \frac{27}{4} )\div (\frac{33}{4} \times \frac{27}{4}) [/tex]
Converting division into multiplication we get,
[tex] =(\frac{231}{2} \times \frac{27}{4} )\times (\frac{4}{27} \times \frac{4}{33} )[/tex]
On solving we get
[tex]= 14[/tex]
Total number of side pieces [tex] = 14[/tex]
