Explanation
the area of a rectangle is given by:
[tex]\text{Area}_{rec\tan gle}=length\cdot width[/tex]Step 1
convert the mixed numbers into fraction numbers, remember:
[tex]a\text{ }\frac{b}{c}=\frac{(a\cdot c)+b}{c}[/tex]hence,
[tex]\begin{gathered} 6\frac{5}{7}=\frac{(6\cdot7)+5}{7}=\frac{47}{7} \\ \text{and} \\ 7\frac{3}{5}=\frac{(7\cdot5)+3}{5}=\frac{38}{5} \end{gathered}[/tex]Step 2
now find the area
Let
length=38/5
width=47/7
now, replace.
[tex]\begin{gathered} \text{Area}_{rec\tan gle}=length\cdot width \\ \text{Area}_{rec\tan gle}=\frac{38}{5}\cdot\frac{47}{7} \\ \text{Area}_{rec\tan gle}=\frac{1786}{35} \\ \\ \text{Area}_{rec\tan gle}=\frac{1786}{35}ft^2 \\ \text{Area}_{rec\tan gle}=51\frac{1}{35}ft^2 \end{gathered}[/tex]I hope this helsp
