Dave is making a rectangle garden bed after assembling it he finds that the bed has a width of three fourths of a foot and a length of nine and one-third feet as shown what is the area of the garden in square feet express your answer in simplest form

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Answer:

7 square feet

Explanation:

The width of the rectangle is 3/4 ft and the length is 9 1/3 ft.

First, we need to convert 9 1/3 ft to a fraction, so

[tex]9\frac{1}{3}=9+\frac{1}{3}=\frac{9(3)+1}{3}=\frac{27+1}{3}=\frac{28}{3}[/tex]

Then, the length of the rectangle is 28/3 ft

Now, we can calculate the area of the garden as

[tex]\begin{gathered} \text{Area = Width x Length} \\ \text{Area = }\frac{3}{4}\times\frac{28}{3}=\frac{3\times28}{4\times3}=\frac{84}{12}=7 \end{gathered}[/tex]

Therefore, the area is 7 square feet.

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