Nita buys a rug that is 10 3/4feet x 12 1/2 feet. What is the area
of the rug? Show your thinking with an area model and a multiplication sentence.
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Respuesta :

Answer: [tex]134\frac{3}{8}ft^2[/tex]

Step-by-step explanation:

This is a rectangle, multiply the sides to find the area.

[tex]A=l*w\\A=(10 \frac{3}{4}ft)(12\frac{1}{2}ft)\\[/tex]

To make it easier to multiply, convert to improper fractions.

[tex]A=(\frac{43}{4}ft)(\frac{25}{2}ft)[/tex]

Multiply

[tex]A=\frac{43*25}{4*2}ft^2\\A=\frac{1075}{8}ft^2\\[/tex]

Convert to mixed number.

1075/8=134

8

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27

24

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   35

    32

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[tex]134\frac{3}{8}ft^2[/tex]