Respuesta :

Answer:

D

Step-by-step explanation:

= 34/5 × 19/4

= 646/20

= [tex]32 \frac{6}{20} [/tex]

The area of the given rectangle is    [tex]32\frac{6}{20}[/tex] square feet

For better understanding check the calcualtion here .

Calcualtion :

Area of the rectangle is the space inside the given triangle .

Formula : Formula  to find the area of the triangle is length times width

Length and width are given as mixed fractions

Lets convert mixed fractions into improper fractions

[tex]Length =6\frac{4}{5}=\frac{6 \cdot 5+4}{5}=\frac{34}{5} \\Width=4\frac{3}{4}=\frac{4 \cdot 4+3}{4}=\frac{19}{4}[/tex]

Now we find out the area

[tex]Area= length \cdot width \\Area=\frac{34}{5} \cdot \frac{19}{4} \\Area= \frac{646}{20}[/tex]

Now we divide the number and find out the quotient and remainder

[tex]Area= \frac{646}{4} \\Quotient = 32 \\remainder =6\\Area= 32\frac{6}{20}[/tex]

The area of the given rectangle is    [tex]32\frac{6}{20}[/tex] square feet

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