Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{32 \frac{6}{20} \: \: \: {ft}^{2} }}}}}[/tex]
Option D is correct.
Step-by-step explanation:
Length of the rectangle = [tex] \sf{6 \frac{4}{5} \: ft}[/tex]
Width of the rectangle = [tex] \sf{4 \frac{3}{4} } \: ft[/tex]
Finding the area of a rectangle having length of [tex] \sf{6 \frac{4}{5} \: ft}[/tex] and width of [tex] \sf{4 \frac{3}{4} } \: ft[/tex]
[tex] \boxed{ \sf{area \: of \: a \: rectangle = length \times width}}[/tex]
[tex] \dashrightarrow{ \sf{6 \frac{4}{5} \times 4 \frac{3}{4} }}[/tex]
Convert the mixed number into improper fraction
[tex] \dashrightarrow{ \sf{ \frac{6 \times 5 + 4}{5} \times \frac{4 \times 4 + 3}{4}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{30 + 4}{5} \times \frac{16 + 3}{4} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{34}{5} \times \frac{19}{4}}} [/tex]
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator
[tex] \dashrightarrow{ \sf{ \frac{34 \times 19}{5 \times 4}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{646}{20} }}[/tex]
Convert the improper fraction into mixed number
[tex] \dashrightarrow{ \boxed{ \sf{32 \frac{6}{20} \: \: {ft}^{2} }}} [/tex]
Hope I helped!
Best regards! :D
