Question

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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Answer 1

Answer:
`134(3)/(8)ft^2`

Explanation:

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

`A=l*w\\A=(10 (3)/(4)ft)(12(1)/(2)ft)\\`

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

`A=((43)/(4)ft)((25)/(2)ft)`

Multiply

`A=(43*25)/(4*2)ft^2\\A=(1075)/(8)ft^2\\`

Convert to mixed number.

1075/8=134

8

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27

24

-------

35

32

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3

`134(3)/(8)ft^2`