Answer: 21 1/8
Step-by-step explanation:
Area= length•width
6 1/2 x 3 1/4
To multiply easier, turn to a improper fraction first
6 1/2= 13/2
3 1/4= 13/4
13/4 x 13/2
= 169/8
Turn to mixed number
169 ÷ 8= 21 R1
= 21 1/8
The area of the carpet needs to cover when the dimension is given for the whole living room so it is [tex]21 \frac{1}{8}[/tex].
We know that
Area= (length) (width)
For easy multiplication, we have to transform into the improper fraction first
So,
[tex]6 \frac{1}{2} = 13\div 2\\\\3 \frac{1}{4}= 13\div 4[/tex]
Now finally
[tex]= \frac{13}{4}\times \frac{13}{2} \\\\= 169\div 8[/tex]
Now
Turn to mixed number
= [tex]21 \frac{1}{8}[/tex]
hence, The area of the carpet needs to cover when the dimension is given for the whole living room so it is [tex]21 \frac{1}{8}[/tex].
Learn more about an area here: https://brainly.com/question/24364874
