the area of a rectangle is 5 4/5 square meters. the width of the rectangle is 2 1/4 meter. which is the best estimate for the length of the rectangle?

Respuesta :

Okay so divide the area by the width this will give you the length, 5.8/2.25=2.5777778 which is roughly 2 3/5

Answer:

[tex]2\frac{26}{45}\text{ meters}[/tex]

Step-by-step explanation:

Since the area of a rectangle is,

[tex]A=l\times b[/tex]

Where,

l = length,

b = width,

Here, A = [tex]5\frac{4}{5}\text{ square meters}[/tex]

b = [tex]2\frac{1}{4}\text{ meters}[/tex]

By substituting the values,

[tex]5\frac{4}{5}=l\times 2\frac{1}{4}[/tex]

[tex]\frac{29}{5}=l\times \frac{9}{4}[/tex]

[tex]\implies \frac{29\times 4}{9\times 5}=\frac{116}{45} = 2\frac{26}{45}\text{ meters}[/tex]

Hence, the length would be [tex]2\frac{26}{45}\text{ meters}[/tex]

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